57780 has 48 divisors (see below), whose sum is σ = 181440. Its totient is φ = 15264.

The previous prime is 57773. The next prime is 57781. The reversal of 57780 is 8775.

57780 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁵⁷⁷⁸⁰ 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 57780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90720).

57780 is an abundant number, since it is smaller than the sum of its proper divisors (123660).

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

57780 is a wasteful number, since it uses less digits than its factorization.

57780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 57780 is about 240.3747074881. The cubic root of 57780 is about 38.6597622763.

The spelling of 57780 in words is "fifty-seven thousand, seven hundred eighty".