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880

Number 880: Properties, Factors, and Mathematical Facts

Short answer

The number 880 is an even composite number with 20 positive divisors. Its prime factorization is 2⁴ × 5 × 11. It is also an abundant number, which gives it several notable mathematical relationships.

Is 880 prime?

ClassificationCompositeParityEvenDivisor count20AbundanceAbundant

What is the prime factorization of 880?

Prime factorization

880 =
2 to the power of 4 times 5 times 11
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What are the divisors of 880?

Divisor count

20

Divisor sum

2,232

Proper divisor sum

1,352
  • 1
  • 2
  • 4
  • 5
  • 8
  • 10
  • 11
  • 16
  • 20
  • 22
  • 40
  • 44
  • 55
  • 80
  • 88
  • 110
  • 176
  • 220
  • 440
  • 880

How is 880 classified?

Prime

Perfect square

No

Perfect cube

No

Fibonacci

No

Triangular

No

Power of two

No

How is 880 represented in other numeral systems?

Decimal

880

Binary

1101110000
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Octal

1560

Hexadecimal

Roman

In words

eight hundred eighty

Roots and powers

Square root

29.664794 Approximate

Cube root

9.582840 Approximate

Nearest lower square

841

Nearest higher square

900

Nearest lower cube

729

Nearest higher cube

1000

What are the digit properties of 880?

Digit count

3

Digit sum

Digit product

0

Digital root

7

Reversed number

88

Why these results are true

  • 880 is composite because it has positive divisors other than 1 and itself.
  • 880 is abundant because the sum of its proper divisors (1352) is greater than 880.

Compare this number

FAQ for 880

Is 880 prime?
No
What is the prime factorization of 880?
2⁴ × 5 × 11
Is 880 a perfect square?
No
What is 880 in binary?
1101110000
What is 880 in Roman numerals?
DCCCLXXX

Read calculation methodology