56578800 has 60 divisors (see below), whose sum is σ = 181244600. Its totient is φ = 15087360.

The previous prime is 56578799. The next prime is 56578831. The reversal of 56578800 is 887565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

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, 22375 + ... + 24774.

Almost surely, 2^56578800 is an apocalyptic number.

56578800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56578800 is an abundant number, since it is smaller than the sum of its proper divisors (124665800).

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

56578800 is a wasteful number, since it uses less digits than its factorization.

56578800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47170 (or 47159 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 56578800 is about 7521.8880608528. Note that the first 3 decimals coincide. The cubic root of 56578800 is about 383.8998219581.

The spelling of 56578800 in words is "fifty-six million, five hundred seventy-eight thousand, eight hundred".