57805300 has 108 divisors (see below), whose sum is σ = 149615424. Its totient is φ = 19320000.

The previous prime is 57805283. The next prime is 57805301. The reversal of 57805300 is 350875.

57805300 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57805301) 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 35 ways as a sum of consecutive naturals, for example, 230175 + ... + 230425.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^57805300 is an apocalyptic number.

57805300 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 57805300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74807712).

57805300 is an abundant number, since it is smaller than the sum of its proper divisors (91810124).

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

57805300 is a wasteful number, since it uses less digits than its factorization.

57805300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 57805300 is about 7602.9796790469. The cubic root of 57805300 is about 386.6540407424.

The spelling of 57805300 in words is "fifty-seven million, eight hundred five thousand, three hundred".