57980700 has 108 divisors (see below), whose sum is σ = 189706608. Its totient is φ = 14784000.

The previous prime is 57980687. The next prime is 57980701. The reversal of 57980700 is 708975.

57980700 is a `hidden beast` number, since 579 + 80 + 7 + 0 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57980701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19300 + ... + 22100.

Almost surely, 2^57980700 is an apocalyptic number.

57980700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94853304).

57980700 is an abundant number, since it is smaller than the sum of its proper divisors (131725908).

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

57980700 is a wasteful number, since it uses less digits than its factorization.

57980700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 57980700 is about 7614.5058933591. The cubic root of 57980700 is about 387.0447237138.

The spelling of 57980700 in words is "fifty-seven million, nine hundred eighty thousand, seven hundred".