79191168 has 128 divisors (see below), whose sum is σ = 254689920. Its totient is φ = 21282816.

The previous prime is 79191163. The next prime is 79191173. The reversal of 79191168 is 86119197.

It is an interprime number because it is at equal distance from previous prime (79191163) and next prime (79191173).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (79191163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44830 + ... + 46562.

It is an arithmetic number, because the mean of its divisors is an integer number (1989765).

Almost surely, 2^79191168 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 79191168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127344960).

79191168 is an abundant number, since it is smaller than the sum of its proper divisors (175498752).

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

79191168 is a wasteful number, since it uses less digits than its factorization.

79191168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its digits is 27216, while the sum is 42.

The square root of 79191168 is about 8898.9419595815. The cubic root of 79191168 is about 429.4298699713.

The spelling of 79191168 in words is "seventy-nine million, one hundred ninety-one thousand, one hundred sixty-eight".