58478080 has 80 divisors (see below), whose sum is σ = 143187264. Its totient is φ = 22896640.

The previous prime is 58478053. The next prime is 58478083. The reversal of 58478080 is 8087485.

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58478083) 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 7 ways as a sum of consecutive naturals, for example, 135465 + ... + 135895.

Almost surely, 2^58478080 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 58478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71593632).

58478080 is an abundant number, since it is smaller than the sum of its proper divisors (84709184).

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

58478080 is an equidigital number, since it uses as much as digits as its factorization.

58478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 58478080 is about 7647.0961809042. The cubic root of 58478080 is about 388.1483118843.

The spelling of 58478080 in words is "fifty-eight million, four hundred seventy-eight thousand, eighty".