78914592 has 72 divisors (see below), whose sum is σ = 231678720. Its totient is φ = 25453440.

The previous prime is 78914573. The next prime is 78914611. The reversal of 78914592 is 29541987.

It is an interprime number because it is at equal distance from previous prime (78914573) and next prime (78914611).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4509 + ... + 13347.

It is an arithmetic number, because the mean of its divisors is an integer number (3217760).

Almost surely, 2^78914592 is an apocalyptic number.

78914592 is a gapful number since it is divisible by the number (72) 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 78914592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115839360).

78914592 is an abundant number, since it is smaller than the sum of its proper divisors (152764128).

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

78914592 is a wasteful number, since it uses less digits than its factorization.

78914592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8886 (or 8875 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 78914592 is about 8883.3885426677. The cubic root of 78914592 is about 428.9293573673.

The spelling of 78914592 in words is "seventy-eight million, nine hundred fourteen thousand, five hundred ninety-two".