The number 76820
76820 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 167. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 167, 230, 334, 460, 668, 835 … 76820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76820: a Harshad number: divisible by its digit sum 23.
- 2
76820 is composite. Its prime factorisation is
- 3
The divisors add up to 169344; without 76820 itself that is 92524, so 76820 is abundant (92524 is more than 76820). Euler's totient φ(76820) = 29216 numbers up to 76820 share no factor with it.
- 4
The digits of 76820 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76820 = 2^{2} \times 5 \times 23 \times 167 \]76820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 169344 |
| Euler totient φ(n) | 29216 |
| Square | 5901312400 |
| Cube | 453338818568000 |
| Square root | 277.164211 (= 2√19205) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.682 × |
76820 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand eight hundred and twenty |
| Binary (base 2) | 10010110000010100 |
| Octal (base 8) | 226024 |
| Hexadecimal (base 16) | 12C14 |
| Base 3 | 10220101012 |
| As time | 76820 seconds = 21 h 20 min 20 s |
Is 76820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76820 ÷ 2 = 38410) | 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 (76820 ÷ 4 = 19205) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76820 ÷ 5 = 15364) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76820 ÷ 10 = 7682) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 76820 a prime number?
No. 76820 = × 5 × 23 × 167, so it is divisible by 2.
What are the factors of 76820?
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 167, 230, 334, 460, 668, 835, 1670, 3340, 3841, 7682, 15364, 19205, 38410, 76820.
What is 76820 in binary?
10010110000010100 (hexadecimal 12C14, octal 226024).
What is the square root of 76820?
About 277.1642, exactly 2√19205.
Is 76820 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 76820?
76820 is a Harshad number: divisible by its digit sum 23.