57797760 has 64 divisors (see below), whose sum is σ = 184236480. Its totient is φ = 15412224.

The previous prime is 57797731. The next prime is 57797771. The reversal of 57797760 is 6779775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×57797760² = 6681162122035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13132 + ... + 16971.

It is an arithmetic number, because the mean of its divisors is an integer number (2878695).

Almost surely, 2^57797760 is an apocalyptic number.

It is an amenable number.

57797760 is an abundant number, since it is smaller than the sum of its proper divisors (126438720).

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

57797760 is a wasteful number, since it uses less digits than its factorization.

57797760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30125 (or 30113 counting only the distinct ones).

The product of its (nonzero) digits is 648270, while the sum is 48.

The square root of 57797760 is about 7602.4838046523. The cubic root of 57797760 is about 386.6372285687.

The spelling of 57797760 in words is "fifty-seven million, seven hundred ninety-seven thousand, seven hundred sixty".