880880400 has 120 divisors (see below), whose sum is σ = 3135320160. Its totient is φ = 234898560.

The previous prime is 880880383. The next prime is 880880419. The reversal of 880880400 is 4088088.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29982 + ... + 51581.

It is an arithmetic number, because the mean of its divisors is an integer number (26127668).

Almost surely, 2^880880400 is an apocalyptic number.

880880400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

880880400 is an abundant number, since it is smaller than the sum of its proper divisors (2254439760).

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

880880400 is a wasteful number, since it uses less digits than its factorization.

880880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81590 (or 81573 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 880880400 is about 29679.6293777399. The cubic root of 880880400 is about 958.6034380839.

The spelling of 880880400 in words is "eight hundred eighty million, eight hundred eighty thousand, four hundred".