57880080 has 120 divisors (see below), whose sum is σ = 204659520. Its totient is φ = 14618880.

The previous prime is 57880057. The next prime is 57880103. The reversal of 57880080 is 8008875.

57880080 is a `hidden beast` number, since 578 + 8 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (57880057) and next prime (57880103).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11565 + ... + 15795.

It is an arithmetic number, because the mean of its divisors is an integer number (1705496).

Almost surely, 2^57880080 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 57880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102329760).

57880080 is an abundant number, since it is smaller than the sum of its proper divisors (146779440).

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

57880080 is a wasteful number, since it uses less digits than its factorization.

57880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 57880080 is about 7607.8958983414. The cubic root of 57880080 is about 386.8207009500.

The spelling of 57880080 in words is "fifty-seven million, eight hundred eighty thousand, eighty".