57773680 has 80 divisors (see below), whose sum is σ = 142848000. Its totient is φ = 21669120.

The previous prime is 57773671. The next prime is 57773689. The reversal of 57773680 is 8637775.

57773680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57773671) and next prime (57773689).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57773689) 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 15 ways as a sum of consecutive naturals, for example, 290221 + ... + 290419.

It is an arithmetic number, because the mean of its divisors is an integer number (1785600).

Almost surely, 2^57773680 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 57773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71424000).

57773680 is an abundant number, since it is smaller than the sum of its proper divisors (85074320).

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

57773680 is a wasteful number, since it uses less digits than its factorization.

57773680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 43.

The square root of 57773680 is about 7600.8999467168. The cubic root of 57773680 is about 386.5835268467.

The spelling of 57773680 in words is "fifty-seven million, seven hundred seventy-three thousand, six hundred eighty".