58477680 has 80 divisors (see below), whose sum is σ = 201430560. Its totient is φ = 15593472.

The previous prime is 58477663. The next prime is 58477691. The reversal of 58477680 is 8677485.

58477680 is a `hidden beast` number, since 584 + 7 + 7 + 68 + 0 = 666.

58477680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 15 ways as a sum of consecutive naturals, for example, 11377 + ... + 15696.

It is an arithmetic number, because the mean of its divisors is an integer number (2517882).

Almost surely, 2^58477680 is an apocalyptic number.

It is an amenable number.

58477680 is an abundant number, since it is smaller than the sum of its proper divisors (142952880).

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

58477680 is a wasteful number, since it uses less digits than its factorization.

58477680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27095 (or 27083 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 58477680 is about 7647.0700271411. The cubic root of 58477680 is about 388.1474268821.

The spelling of 58477680 in words is "fifty-eight million, four hundred seventy-seven thousand, six hundred eighty".