56760800 has 36 divisors (see below), whose sum is σ = 138569256. Its totient is φ = 22704000.

The previous prime is 56760799. The next prime is 56760829. The reversal of 56760800 is 806765.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34676 + ... + 36275.

It is an arithmetic number, because the mean of its divisors is an integer number (3849146).

Almost surely, 2^56760800 is an apocalyptic number.

56760800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56760800 is an abundant number, since it is smaller than the sum of its proper divisors (81808456).

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

56760800 is a wasteful number, since it uses less digits than its factorization.

56760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70971 (or 70958 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 56760800 is about 7533.9763737352. The cubic root of 56760800 is about 384.3110182794.

The spelling of 56760800 in words is "fifty-six million, seven hundred sixty thousand, eight hundred".