78879264 has 96 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 25039872.

The previous prime is 78879247. The next prime is 78879289. The reversal of 78879264 is 46297887.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 188047 + ... + 188465.

It is an arithmetic number, because the mean of its divisors is an integer number (2262330).

Almost surely, 2^78879264 is an apocalyptic number.

78879264 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78879264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

78879264 is an abundant number, since it is smaller than the sum of its proper divisors (138304416).

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

78879264 is a wasteful number, since it uses less digits than its factorization.

78879264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

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

The square root of 78879264 is about 8881.3998896570. The cubic root of 78879264 is about 428.8653409932.

The spelling of 78879264 in words is "seventy-eight million, eight hundred seventy-nine thousand, two hundred sixty-four".