79176960 has 288 divisors, whose sum is σ = 294336000. Its totient is φ = 20127744.

The previous prime is 79176959. The next prime is 79176967. The reversal of 79176960 is 6967197.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79176967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002201 + ... + 1002279.

It is an arithmetic number, because the mean of its divisors is an integer number (1022000).

Almost surely, 2^79176960 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 79176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168000).

79176960 is an abundant number, since it is smaller than the sum of its proper divisors (215159040).

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

79176960 is a wasteful number, since it uses less digits than its factorization.

79176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 79176960 is about 8898.1436266224. The cubic root of 79176960 is about 429.4041865326.

The spelling of 79176960 in words is "seventy-nine million, one hundred seventy-six thousand, nine hundred sixty".