58378800 has 60 divisors (see below), whose sum is σ = 187010600. Its totient is φ = 15567360.

The previous prime is 58378781. The next prime is 58378843. The reversal of 58378800 is 887385.

58378800 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 (60).

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 11 ways as a sum of consecutive naturals, for example, 23125 + ... + 25524.

Almost surely, 2^58378800 is an apocalyptic number.

58378800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58378800 is an abundant number, since it is smaller than the sum of its proper divisors (128631800).

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

58378800 is a wasteful number, since it uses less digits than its factorization.

58378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48670 (or 48659 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 58378800 is about 7640.6020705177. The cubic root of 58378800 is about 387.9285304291.

The spelling of 58378800 in words is "fifty-eight million, three hundred seventy-eight thousand, eight hundred".