7965801168 has 160 divisors (see below), whose sum is σ = 22985195520. Its totient is φ = 2360655360.

The previous prime is 7965801149. The next prime is 7965801169. The reversal of 7965801168 is 8611085697.

It is a super-2 number, since 2×7965801168² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7965801168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7965801169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4622355 + ... + 4624077.

It is an arithmetic number, because the mean of its divisors is an integer number (143657472).

Almost surely, 2^7965801168 is an apocalyptic number.

7965801168 is a gapful number since it is divisible by the number (78) 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 7965801168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11492597760).

7965801168 is an abundant number, since it is smaller than the sum of its proper divisors (15019394352).

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

7965801168 is a wasteful number, since it uses less digits than its factorization.

7965801168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 7965801168 is about 89251.3370656149. The cubic root of 7965801168 is about 1997.1460266887.

The spelling of 7965801168 in words is "seven billion, nine hundred sixty-five million, eight hundred one thousand, one hundred sixty-eight".