57760 has 36 divisors (see below), whose sum is σ = 144018. Its totient is φ = 21888.

The previous prime is 57751. The next prime is 57773. The reversal of 57760 is 6775.

It can be written as a sum of positive squares in only one way, i.e., 51984 + 5776 = 228^2 + 76^2 .

It is an unprimeable number.

57760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3031 + ... + 3049.

2⁵⁷⁷⁶⁰ 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 57760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72009).

57760 is an abundant number, since it is smaller than the sum of its proper divisors (86258).

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

57760 is a wasteful number, since it uses less digits than its factorization.

57760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 25.

The square root of 57760 is about 240.3331021728. Note that the first 3 decimals coincide. The cubic root of 57760 is about 38.6553011913.

The spelling of 57760 in words is "fifty-seven thousand, seven hundred sixty".