7959980160 has 768 divisors, whose sum is σ = 32037465600. Its totient is φ = 1888634880.

The previous prime is 7959980141. The next prime is 7959980167. The reversal of 7959980160 is 610899597.

It is a super-2 number, since 2×7959980160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7959980097 and 7959980106.

It is not an unprimeable number, because it can be changed into a prime (7959980167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169361257 + ... + 169361303.

It is an arithmetic number, because the mean of its divisors is an integer number (41715450).

Almost surely, 2^7959980160 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 7959980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018732800).

7959980160 is an abundant number, since it is smaller than the sum of its proper divisors (24077485440).

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

7959980160 is an equidigital number, since it uses as much as digits as its factorization.

7959980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 7959980160 is about 89218.7209054243. The cubic root of 7959980160 is about 1996.6594367585.

The spelling of 7959980160 in words is "seven billion, nine hundred fifty-nine million, nine hundred eighty thousand, one hundred sixty".