57857800 has 288 divisors, whose sum is σ = 191862720. Its totient is φ = 15667200.

The previous prime is 57857773. The next prime is 57857803. The reversal of 57857800 is 875875.

57857800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (57857803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3403392 + ... + 3403408.

It is an arithmetic number, because the mean of its divisors is an integer number (666190).

Almost surely, 2^57857800 is an apocalyptic number.

57857800 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 57857800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95931360).

57857800 is an abundant number, since it is smaller than the sum of its proper divisors (134004920).

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

57857800 is a wasteful number, since it uses less digits than its factorization.

57857800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The square root of 57857800 is about 7606.4314892070. The cubic root of 57857800 is about 386.7710611241.

It can be divided in two parts, 578 and 57800, that multiplied together give a square (33408400 = 5780²).

The spelling of 57857800 in words is "fifty-seven million, eight hundred fifty-seven thousand, eight hundred".