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880 = 24511

• 880 can be written using four 4's:

See also 113.
880 has 20 divisors (see below), whose sum is σ = 2232. Its totient is φ = 320.

The previous prime is 877. The next prime is 881. The reversal of 880 is 88.

880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

880 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (20).

880 is a Gilda number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a plaindrome in base 9 and base 14.

It is a nialpdrome in base 10 and base 11.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75 + ... + 85.

880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116).

880 is an abundant number, since it is smaller than the sum of its proper divisors (1352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

880 is a wasteful number, since it uses less digits than its factorization.

880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 880 is about 29.6647939484. The cubic root of 880 is about 9.5828397141.

880 divided by its sum of digits (16) gives a palindrome (55).

It can be divided in two parts, 8 and 80, that added together give a palindrome (88).

The spelling of 880 in words is "eight hundred eighty", and thus it is an aban number and an oban number.

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