57870800 has 120 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 20620800.

The previous prime is 57870767. The next prime is 57870809. The reversal of 57870800 is 807875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57870809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161021 + ... + 161379.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^57870800 is an apocalyptic number.

57870800 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 57870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

57870800 is an abundant number, since it is smaller than the sum of its proper divisors (97119280).

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

57870800 is a wasteful number, since it uses less digits than its factorization.

57870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 57870800 is about 7607.2859812156. The cubic root of 57870800 is about 386.8000266641.

The spelling of 57870800 in words is "fifty-seven million, eight hundred seventy thousand, eight hundred".