56764400 has 240 divisors, whose sum is σ = 180821760. Its totient is φ = 16588800.

The previous prime is 56764399. The next prime is 56764439. The reversal of 56764400 is 446765.

56764400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585152 + ... + 585248.

It is an arithmetic number, because the mean of its divisors is an integer number (753424).

Almost surely, 2^56764400 is an apocalyptic number.

56764400 is a gapful number since it is divisible by the number (50) 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 56764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

56764400 is an abundant number, since it is smaller than the sum of its proper divisors (124057360).

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

56764400 is a wasteful number, since it uses less digits than its factorization.

56764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 56764400 is about 7534.2152876063. The cubic root of 56764400 is about 384.3191429618.

The spelling of 56764400 in words is "fifty-six million, seven hundred sixty-four thousand, four hundred".