The number 880
880 is a composite number with 20 divisors. Its prime factorisation is × 5 × 11. Divisors (20): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110 … 880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 880: a Harshad number: divisible by its digit sum 16.
- 2
880 is composite. Its prime factorisation is
- 3
The divisors add up to 2232; without 880 itself that is 1352, so 880 is abundant (1352 is more than 880). Euler's totient φ(880) = 320 numbers up to 880 share no factor with it.
- 4
The digits of 880 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 880 = 2^{4} \times 5 \times 11 \]880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 2232 |
| Euler totient φ(n) | 320 |
| Square | 774400 |
| Cube | 681472000 |
| Square root | 29.664794 (= 4√55) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 116 |
| Scientific notation | 8.8 × |
880 in other forms
| Form | Value |
|---|---|
| In words | eight hundred and eighty |
| Roman numerals | DCCCLXXX |
| Binary (base 2) | 1101110000 |
| Octal (base 8) | 1560 |
| Hexadecimal (base 16) | 370 |
| Base 3 | 1012121 |
| As time | 880 seconds = 14 min 40 s |
Is 880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (880 ÷ 2 = 440) | 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 (880 ÷ 4 = 220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (880 ÷ 5 = 176) | 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 | No (remainder 5) | 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 (880 ÷ 8 = 110) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (880 ÷ 10 = 88) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (880 ÷ 11 = 80) | 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 880 a prime number?
No. 880 = × 5 × 11, so it is divisible by 2.
What are the factors of 880?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
What is 880 in binary?
1101110000 (hexadecimal 370, octal 1560).
What is the square root of 880?
About 29.6648, exactly 4√55.
What is 880 in Roman numerals?
DCCCLXXX.
Is 880 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 880?
880 is a Harshad number: divisible by its digit sum 16.