79170087665376 has 480 divisors, whose sum is σ = 248120837949600. Its totient is φ = 24719517204480.

The previous prime is 79170087665353. The next prime is 79170087665399. The reversal of 79170087665376 is 67356678007197.

79170087665376 is a `hidden beast` number, since 7 + 9 + 1 + 7 + 0 + 0 + 87 + 6 + 6 + 537 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (79170087665353) and next prime (79170087665399).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 551586196 + ... + 551729708.

It is an arithmetic number, because the mean of its divisors is an integer number (516918412395).

Almost surely, 2^{79170087665376} 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 79170087665376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124060418974800).

79170087665376 is an abundant number, since it is smaller than the sum of its proper divisors (168950750284224).

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

79170087665376 is a wasteful number, since it uses less digits than its factorization.

79170087665376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143784 (or 143767 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 79170087665376 in words is "seventy-nine trillion, one hundred seventy billion, eighty-seven million, six hundred sixty-five thousand, three hundred seventy-six".