The number 76790
76790 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1097. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1097, 2194, 5485, 7679, 10970, 15358, 38395, 76790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76790 is composite. Its prime factorisation is
- 3
The divisors add up to 158112; without 76790 itself that is 81322, so 76790 is abundant (81322 is more than 76790). Euler's totient φ(76790) = 26304 numbers up to 76790 share no factor with it.
- 4
The digits of 76790 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76790 = 2 \times 5 \times 7 \times 1097 \]
76790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 158112 |
| Euler totient φ(n) | 26304 |
| Square | 5896704100 |
| Cube | 452807907839000 |
| Square root | 277.110086 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.679 × |
76790 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand seven hundred and ninety |
| Binary (base 2) | 10010101111110110 |
| Octal (base 8) | 225766 |
| Hexadecimal (base 16) | 12BF6 |
| Base 3 | 10220100002 |
| As time | 76790 seconds = 21 h 19 min 50 s |
Is 76790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76790 ÷ 2 = 38395) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76790 ÷ 5 = 15358) | 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 | Yes (76790 ÷ 7 = 10970) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76790 ÷ 10 = 7679) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76790 a prime number?
No. 76790 = 2 × 5 × 7 × 1097, so it is divisible by 2.
What are the factors of 76790?
1, 2, 5, 7, 10, 14, 35, 70, 1097, 2194, 5485, 7679, 10970, 15358, 38395, 76790.
What is 76790 in binary?
10010101111110110 (hexadecimal 12BF6, octal 225766).
What is the square root of 76790?
About 277.1101.
Is 76790 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76790?
It is a composite number with 16 divisors.