The number 76720
76720 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 137. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 76720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76720 is composite. Its prime factorisation is
- 3
The divisors add up to 205344; without 76720 itself that is 128624, so 76720 is abundant (128624 is more than 76720). Euler's totient φ(76720) = 26112 numbers up to 76720 share no factor with it.
- 4
The digits of 76720 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76720 = 2^{4} \times 5 \times 7 \times 137 \]76720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 205344 |
| Euler totient φ(n) | 26112 |
| Square | 5885958400 |
| Cube | 451570728448000 |
| Square root | 276.983754 (= 4√4795) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.672 × |
76720 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and twenty |
| Binary (base 2) | 10010101110110000 |
| Octal (base 8) | 225660 |
| Hexadecimal (base 16) | 12BB0 |
| Base 3 | 10220020111 |
| As time | 76720 seconds = 21 h 18 min 40 s |
Is 76720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76720 ÷ 2 = 38360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76720 ÷ 4 = 19180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76720 ÷ 5 = 15344) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76720 ÷ 7 = 10960) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (76720 ÷ 8 = 9590) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76720 ÷ 10 = 7672) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76720 a prime number?
No. 76720 = × 5 × 7 × 137, so it is divisible by 2.
What are the factors of 76720?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 137, 140, 274, 280, 548, 560, 685, 959, 1096, 1370, 1918, 2192, 2740, 3836, 4795, 5480, 7672, 9590, 10960, 15344, 19180, 38360, 76720.
What is 76720 in binary?
10010101110110000 (hexadecimal 12BB0, octal 225660).
What is the square root of 76720?
About 276.9838, exactly 4√4795.
Is 76720 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 76720?
It is a composite number with 40 divisors.