57797120 has 80 divisors (see below), whose sum is σ = 140535648. Its totient is φ = 22794240.

The previous prime is 57797119. The next prime is 57797153. The reversal of 57797120 is 2179775.

57797120 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 273815 + ... + 274025.

Almost surely, 2^57797120 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 57797120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70267824).

57797120 is an abundant number, since it is smaller than the sum of its proper divisors (82738528).

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

57797120 is a wasteful number, since it uses less digits than its factorization.

57797120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 57797120 is about 7602.4417130288. The cubic root of 57797120 is about 386.6358014734.

The spelling of 57797120 in words is "fifty-seven million, seven hundred ninety-seven thousand, one hundred twenty".