78964872 has 96 divisors (see below), whose sum is σ = 232696800. Its totient is φ = 22262016.

The previous prime is 78964867. The next prime is 78964891. The reversal of 78964872 is 27846987.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 97204 + ... + 98012.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^78964872 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 78964872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348400).

78964872 is an abundant number, since it is smaller than the sum of its proper divisors (153731928).

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

78964872 is a wasteful number, since it uses less digits than its factorization.

78964872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 904 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 78964872 is about 8886.2180932048. The cubic root of 78964872 is about 429.0204346904.

The spelling of 78964872 in words is "seventy-eight million, nine hundred sixty-four thousand, eight hundred seventy-two".