56757764 has 96 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 21514752.

The previous prime is 56757763. The next prime is 56757791. The reversal of 56757764 is 46775765.

It is a Harshad number since it is a multiple of its sum of digits (47).

Its product of digits (1234800) is a multiple of the sum of its prime divisors (175).

It is not an unprimeable number, because it can be changed into a prime (56757761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961967 + ... + 962025.

It is an arithmetic number, because the mean of its divisors is an integer number (1330560).

Almost surely, 2^56757764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56757764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

56757764 is an abundant number, since it is smaller than the sum of its proper divisors (70975996).

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

56757764 is a wasteful number, since it uses less digits than its factorization.

56757764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 47.

The square root of 56757764 is about 7533.7748838149. The cubic root of 56757764 is about 384.3041661969.

The spelling of 56757764 in words is "fifty-six million, seven hundred fifty-seven thousand, seven hundred sixty-four".