8079942960 has 240 divisors, whose sum is σ = 27970959744. Its totient is φ = 2089156608.

The previous prime is 8079942947. The next prime is 8079942973. The reversal of 8079942960 is 692499708.

It is an interprime number because it is at equal distance from previous prime (8079942947) and next prime (8079942973).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 8079942897 and 8079942906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3822864 + ... + 3824976.

Almost surely, 2^8079942960 is an apocalyptic number.

8079942960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8079942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13985479872).

8079942960 is an abundant number, since it is smaller than the sum of its proper divisors (19891016784).

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

8079942960 is a wasteful number, since it uses less digits than its factorization.

8079942960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 8079942960 is about 89888.5029355813. The cubic root of 8079942960 is about 2006.6398451669.

The spelling of 8079942960 in words is "eight billion, seventy-nine million, nine hundred forty-two thousand, nine hundred sixty".