The number 76400
76400 is a composite number with 30 divisors. Its prime factorisation is × × 191. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 191, 200, 382 … 76400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76400 is composite. Its prime factorisation is
- 3
The divisors add up to 184512; without 76400 itself that is 108112, so 76400 is abundant (108112 is more than 76400). Euler's totient φ(76400) = 30400 numbers up to 76400 share no factor with it.
- 4
The digits of 76400 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76400 = 2^{4} \times 5^{2} \times 191 \]76400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 184512 |
| Euler totient φ(n) | 30400 |
| Square | 5836960000 |
| Cube | 445943744000000 |
| Square root | 276.405499 (= 20√191) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.64 × |
76400 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand four hundred |
| Binary (base 2) | 10010101001110000 |
| Octal (base 8) | 225160 |
| Hexadecimal (base 16) | 12A70 |
| Base 3 | 10212210122 |
| As time | 76400 seconds = 21 h 13 min 20 s |
Is 76400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76400 ÷ 2 = 38200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76400 ÷ 4 = 19100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76400 ÷ 5 = 15280) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (76400 ÷ 8 = 9550) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76400 ÷ 10 = 7640) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76400 a prime number?
No. 76400 = × × 191, so it is divisible by 2.
What are the factors of 76400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 191, 200, 382, 400, 764, 955, 1528, 1910, 3056, 3820, 4775, 7640, 9550, 15280, 19100, 38200, 76400.
What is 76400 in binary?
10010101001110000 (hexadecimal 12A70, octal 225160).
What is the square root of 76400?
About 276.4055, exactly 20√191.
Is 76400 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 76400?
It is a composite number with 30 divisors.