7960609920 has 128 divisors (see below), whose sum is σ = 25626300480. Its totient is φ = 2101760000.

The previous prime is 7960609919. The next prime is 7960609991. The reversal of 7960609920 is 299060697.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7960609920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173395 + ... + 214445.

Almost surely, 2^7960609920 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 7960609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813150240).

7960609920 is an abundant number, since it is smaller than the sum of its proper divisors (17665690560).

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

7960609920 is a wasteful number, since it uses less digits than its factorization.

7960609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41174 (or 41162 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 7960609920 is about 89222.2501397493. The cubic root of 7960609920 is about 1996.7120911229.

The spelling of 7960609920 in words is "seven billion, nine hundred sixty million, six hundred nine thousand, nine hundred twenty".