7998993920 has 160 divisors (see below), whose sum is σ = 20623680000. Its totient is φ = 2965856256.

The previous prime is 7998993881. The next prime is 7998993931. The reversal of 7998993920 is 293998997.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 2284331 + ... + 2287829.

It is an arithmetic number, because the mean of its divisors is an integer number (128898000).

Almost surely, 2^7998993920 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 7998993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840000).

7998993920 is an abundant number, since it is smaller than the sum of its proper divisors (12624686080).

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

7998993920 is a wasteful number, since it uses less digits than its factorization.

7998993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 65.

The square root of 7998993920 is about 89437.0947649799. The cubic root of 7998993920 is about 1999.9161564852.

The spelling of 7998993920 in words is "seven billion, nine hundred ninety-eight million, nine hundred ninety-three thousand, nine hundred twenty".