78088192 has 96 divisors (see below), whose sum is σ = 192628800. Its totient is φ = 30818304.

The previous prime is 78088181. The next prime is 78088193. The reversal of 78088192 is 29188087.

It is not an unprimeable number, because it can be changed into a prime (78088193) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186159 + ... + 186577.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 2^78088192 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 78088192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96314400).

78088192 is an abundant number, since it is smaller than the sum of its proper divisors (114540608).

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

78088192 is a wasteful number, since it uses less digits than its factorization.

78088192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 43.

The square root of 78088192 is about 8836.7523446117. The cubic root of 78088192 is about 427.4268392751.

The spelling of 78088192 in words is "seventy-eight million, eighty-eight thousand, one hundred ninety-two".