79895680 has 64 divisors (see below), whose sum is σ = 197210880. Its totient is φ = 30919680.

The previous prime is 79895663. The next prime is 79895693. The reversal of 79895680 is 8659897.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17827 + ... + 21853.

It is an arithmetic number, because the mean of its divisors is an integer number (3081420).

Almost surely, 2^79895680 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 79895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98605440).

79895680 is an abundant number, since it is smaller than the sum of its proper divisors (117315200).

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

79895680 is a wasteful number, since it uses less digits than its factorization.

79895680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 79895680 is about 8938.4383423504. The cubic root of 79895680 is about 430.6995643486.

The spelling of 79895680 in words is "seventy-nine million, eight hundred ninety-five thousand, six hundred eighty".