980188800 has 96 divisors (see below), whose sum is σ = 3228528480. Its totient is φ = 261381120.

The previous prime is 980188799. The next prime is 980188813. The reversal of 980188800 is 8881089.

It is a happy number.

980188800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41452 + ... + 60651.

It is an arithmetic number, because the mean of its divisors is an integer number (33630505).

Almost surely, 2^980188800 is an apocalyptic number.

It is an amenable number.

980188800 is an abundant number, since it is smaller than the sum of its proper divisors (2248339680).

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

980188800 is a wasteful number, since it uses less digits than its factorization.

980188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102130 (or 102113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The square root of 980188800 is about 31307.9670371616. The cubic root of 980188800 is about 993.3521709664.

The spelling of 980188800 in words is "nine hundred eighty million, one hundred eighty-eight thousand, eight hundred".