57766764 has 96 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 16027200.

The previous prime is 57766763. The next prime is 57766769. The reversal of 57766764 is 46766775.

It is not an unprimeable number, because it can be changed into a prime (57766763) 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, 77377 + ... + 78119.

It is an arithmetic number, because the mean of its divisors is an integer number (1666560).

Almost surely, 2^57766764 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 57766764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

57766764 is an abundant number, since it is smaller than the sum of its proper divisors (102222996).

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

57766764 is a wasteful number, since it uses less digits than its factorization.

57766764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 809 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 48.

The square root of 57766764 is about 7600.4449869728. Note that the first 3 decimals coincide. The cubic root of 57766764 is about 386.5681004544.

The spelling of 57766764 in words is "fifty-seven million, seven hundred sixty-six thousand, seven hundred sixty-four".