57796800 has 84 divisors (see below), whose sum is σ = 189637416. Its totient is φ = 15411200.

The previous prime is 57796789. The next prime is 57796819. The reversal of 57796800 is 869775.

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, 1221 + ... + 10820.

Almost surely, 2^57796800 is an apocalyptic number.

57796800 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 57796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94818708).

57796800 is an abundant number, since it is smaller than the sum of its proper divisors (131840616).

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

57796800 is a wasteful number, since it uses less digits than its factorization.

57796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12066 (or 12051 counting only the distinct ones).

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

The square root of 57796800 is about 7602.4206671296. The cubic root of 57796800 is about 386.6350879218.

Subtracting from 57796800 its reverse (869775), we obtain a square (56927025 = 7545²).

The spelling of 57796800 in words is "fifty-seven million, seven hundred ninety-six thousand, eight hundred".