57800 has 36 divisors (see below), whose sum is σ = 142755. Its totient is φ = 21760.

The previous prime is 57793. The next prime is 57803. The reversal of 57800 is 875.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57800 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 5 ways, for example, as 37636 + 20164 = 194^2 + 142^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=170.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (57803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3392 + ... + 3408.

2⁵⁷⁸⁰⁰ is an apocalyptic number.

57800 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 57800

57800 is an abundant number, since it is smaller than the sum of its proper divisors (84955).

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

57800 is a wasteful number, since it uses less digits than its factorization.

57800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 57800 is about 240.4163056034. The cubic root of 57800 is about 38.6642223319.

The spelling of 57800 in words is "fifty-seven thousand, eight hundred".