56797200 has 150 divisors (see below), whose sum is σ = 203956874. Its totient is φ = 15137280.

The previous prime is 56797199. The next prime is 56797211. The reversal of 56797200 is 279765.

56797200 is a `hidden beast` number, since 567 + 97 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 186624 + 56610576 = 432^2 + 7524^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31524 + ... + 33276.

Almost surely, 2^56797200 is an apocalyptic number.

56797200 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 56797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101978437).

56797200 is an abundant number, since it is smaller than the sum of its proper divisors (147159674).

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

56797200 is a wasteful number, since it uses less digits than its factorization.

56797200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 56797200 is about 7536.3917095650. The cubic root of 56797200 is about 384.3931520279.

The spelling of 56797200 in words is "fifty-six million, seven hundred ninety-seven thousand, two hundred".