57730320 has 200 divisors, whose sum is σ = 205254720. Its totient is φ = 15033600.

The previous prime is 57730319. The next prime is 57730327. The reversal of 57730320 is 2303775.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57730327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 382245 + ... + 382395.

Almost surely, 2^57730320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57730320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102627360).

57730320 is an abundant number, since it is smaller than the sum of its proper divisors (147524400).

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

57730320 is a wasteful number, since it uses less digits than its factorization.

57730320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 57730320 is about 7598.0471175164. The cubic root of 57730320 is about 386.4867904267.

The spelling of 57730320 in words is "fifty-seven million, seven hundred thirty thousand, three hundred twenty".