57978100 has 72 divisors (see below), whose sum is σ = 131241600. Its totient is φ = 22214400.

The previous prime is 57978097. The next prime is 57978113. The reversal of 57978100 is 187975.

It is a super-2 number, since 2×57978100² = 6722920159220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57978100.

It is a congruent number.

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, 323811 + ... + 323989.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 2^57978100 is an apocalyptic number.

57978100 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 57978100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65620800).

57978100 is an abundant number, since it is smaller than the sum of its proper divisors (73263500).

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

57978100 is a wasteful number, since it uses less digits than its factorization.

57978100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The square root of 57978100 is about 7614.3351646746. The cubic root of 57978100 is about 387.0389382753.

The spelling of 57978100 in words is "fifty-seven million, nine hundred seventy-eight thousand, one hundred".