78571920 has 80 divisors (see below), whose sum is σ = 278375040. Its totient is φ = 17958912.

The previous prime is 78571903. The next prime is 78571931. The reversal of 78571920 is 2917587.

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

It is a super-2 number, since 2×78571920² = 12347093224972800, which contains 22 as substring.

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, 21705 + ... + 25064.

It is an arithmetic number, because the mean of its divisors is an integer number (3479688).

Almost surely, 2^78571920 is an apocalyptic number.

78571920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78571920 is an abundant number, since it is smaller than the sum of its proper divisors (199803120).

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

78571920 is a wasteful number, since it uses less digits than its factorization.

78571920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46792 (or 46786 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 78571920 is about 8864.0803245458. The cubic root of 78571920 is about 428.3076077888.

The spelling of 78571920 in words is "seventy-eight million, five hundred seventy-one thousand, nine hundred twenty".