57764 has 12 divisors (see below), whose sum is σ = 115584. Its totient is φ = 24744.

The previous prime is 57751. The next prime is 57773. The reversal of 57764 is 46775.

57764 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1004 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (9632).

2⁵⁷⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

57764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57792).

57764 is a wasteful number, since it uses less digits than its factorization.

57764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2072 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 57764 is about 240.3414238120. The cubic root of 57764 is about 38.6561934906.

It can be divided in two parts, 5776 and 4, that multiplied together give a square (23104 = 152²).

The spelling of 57764 in words is "fifty-seven thousand, seven hundred sixty-four".