57792800 has 72 divisors (see below), whose sum is σ = 151966836. Its totient is φ = 21335040.

The previous prime is 57792797. The next prime is 57792827. The reversal of 57792800 is 829775.

It can be written as a sum of positive squares in 6 ways, for example, as 25120144 + 32672656 = 5012^2 + 5716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7622 + ... + 13178.

Almost surely, 2^57792800 is an apocalyptic number.

57792800 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 57792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75983418).

57792800 is an abundant number, since it is smaller than the sum of its proper divisors (94174036).

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

57792800 is a wasteful number, since it uses less digits than its factorization.

57792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5590 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 38.

The square root of 57792800 is about 7602.1575884745. The cubic root of 57792800 is about 386.6261683044.

The spelling of 57792800 in words is "fifty-seven million, seven hundred ninety-two thousand, eight hundred".