57079680 has 256 divisors, whose sum is σ = 216207360. Its totient is φ = 12533760.

The previous prime is 57079663. The next prime is 57079717. The reversal of 57079680 is 8697075.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416572 + ... + 416708.

It is an arithmetic number, because the mean of its divisors is an integer number (844560).

Almost surely, 2^57079680 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 57079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108103680).

57079680 is an abundant number, since it is smaller than the sum of its proper divisors (159127680).

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

57079680 is a wasteful number, since it uses less digits than its factorization.

57079680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 57079680 is about 7555.1095293186. The cubic root of 57079680 is about 385.0293562818.

The spelling of 57079680 in words is "fifty-seven million, seventy-nine thousand, six hundred eighty".