56764800 has 288 divisors, whose sum is σ = 212929080. Its totient is φ = 14929920.

The previous prime is 56764793. The next prime is 56764811. The reversal of 56764800 is 846765.

It is a happy number.

56764800 is a `hidden beast` number, since 5 + 6 + 7 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 777564 + ... + 777636.

Almost surely, 2^56764800 is an apocalyptic number.

56764800 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 56764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106464540).

56764800 is an abundant number, since it is smaller than the sum of its proper divisors (156164280).

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

56764800 is an equidigital number, since it uses as much as digits as its factorization.

56764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56764800 is about 7534.2418331243. The cubic root of 56764800 is about 384.3200456831.

The spelling of 56764800 in words is "fifty-six million, seven hundred sixty-four thousand, eight hundred".