57755880 has 384 divisors, whose sum is σ = 242161920. Its totient is φ = 11612160.

The previous prime is 57755857. The next prime is 57755881. The reversal of 57755880 is 8855775.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57755881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1343139 + ... + 1343181.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 2^57755880 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 57755880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121080960).

57755880 is an abundant number, since it is smaller than the sum of its proper divisors (184406040).

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

57755880 is a wasteful number, since it uses less digits than its factorization.

57755880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The square root of 57755880 is about 7599.7289425347. The cubic root of 57755880 is about 386.5438207984.

The spelling of 57755880 in words is "fifty-seven million, seven hundred fifty-five thousand, eight hundred eighty".