79401168 has 360 divisors, whose sum is σ = 300814080. Its totient is φ = 19958400.

The previous prime is 79401167. The next prime is 79401173. The reversal of 79401168 is 86110497.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79401163) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2561313 + ... + 2561343.

Almost surely, 2^79401168 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 79401168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150407040).

79401168 is an abundant number, since it is smaller than the sum of its proper divisors (221412912).

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

79401168 is a wasteful number, since it uses less digits than its factorization.

79401168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 79401168 is about 8910.7333031575. The cubic root of 79401168 is about 429.8091238642.

The spelling of 79401168 in words is "seventy-nine million, four hundred one thousand, one hundred sixty-eight".