57766680 has 96 divisors (see below), whose sum is σ = 198806400. Its totient is φ = 14496768.

The previous prime is 57766679. The next prime is 57766691. The reversal of 57766680 is 8666775.

57766680 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 (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1401 + ... + 10839.

It is an arithmetic number, because the mean of its divisors is an integer number (2070900).

Almost surely, 2^57766680 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 57766680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99403200).

57766680 is an abundant number, since it is smaller than the sum of its proper divisors (141039720).

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

57766680 is a wasteful number, since it uses less digits than its factorization.

57766680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 57766680 is about 7600.4394609786. The cubic root of 57766680 is about 386.5679130817.

The spelling of 57766680 in words is "fifty-seven million, seven hundred sixty-six thousand, six hundred eighty".