57768 has 32 divisors (see below), whose sum is σ = 151200. Its totient is φ = 18368.

The previous prime is 57751. The next prime is 57773. The reversal of 57768 is 86775.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 655 + ... + 737.

It is an arithmetic number, because the mean of its divisors is an integer number (4725).

2⁵⁷⁷⁶⁸ is an apocalyptic number.

57768 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

57768 is an abundant number, since it is smaller than the sum of its proper divisors (93432).

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

57768 is a wasteful number, since it uses less digits than its factorization.

57768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 57768 is about 240.3497451632. The cubic root of 57768 is about 38.6570857488.

The spelling of 57768 in words is "fifty-seven thousand, seven hundred sixty-eight".