57788880 has 240 divisors, whose sum is σ = 204094080. Its totient is φ = 13483008.

The previous prime is 57788869. The next prime is 57788923. The reversal of 57788880 is 8888775.

It is a happy number.

57788880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1992706 + ... + 1992734.

It is an arithmetic number, because the mean of its divisors is an integer number (850392).

Almost surely, 2^57788880 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 57788880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102047040).

57788880 is an abundant number, since it is smaller than the sum of its proper divisors (146305200).

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

57788880 is a wasteful number, since it uses less digits than its factorization.

57788880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 51.

The square root of 57788880 is about 7601.8997625594. The cubic root of 57788880 is about 386.6174266800.

The spelling of 57788880 in words is "fifty-seven million, seven hundred eighty-eight thousand, eight hundred eighty".