7965884960 has 144 divisors (see below), whose sum is σ = 20753107200. Its totient is φ = 2887272960.

The previous prime is 7965884933. The next prime is 7965884963. The reversal of 7965884960 is 694885697.

It is a junction number, because it is equal to n+sod(n) for n = 7965884893 and 7965884902.

It is not an unprimeable number, because it can be changed into a prime (7965884963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9273011 + ... + 9273869.

It is an arithmetic number, because the mean of its divisors is an integer number (144118800).

Almost surely, 2^7965884960 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 7965884960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10376553600).

7965884960 is an abundant number, since it is smaller than the sum of its proper divisors (12787222240).

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

7965884960 is a wasteful number, since it uses less digits than its factorization.

7965884960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 62.

The square root of 7965884960 is about 89251.8064803172. The cubic root of 7965884960 is about 1997.1530293019.

The spelling of 7965884960 in words is "seven billion, nine hundred sixty-five million, eight hundred eighty-four thousand, nine hundred sixty".