7983157120 has 128 divisors (see below), whose sum is σ = 19806768000. Its totient is φ = 3073179648.

The previous prime is 7983157099. The next prime is 7983157151. The reversal of 7983157120 is 217513897.

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

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, 8592816 + ... + 8593744.

It is an arithmetic number, because the mean of its divisors is an integer number (154740375).

Almost surely, 2^7983157120 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 7983157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9903384000).

7983157120 is an abundant number, since it is smaller than the sum of its proper divisors (11823610880).

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

7983157120 is a wasteful number, since it uses less digits than its factorization.

7983157120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 43.

The square root of 7983157120 is about 89348.5149289007. The cubic root of 7983157120 is about 1998.5954405039.

The spelling of 7983157120 in words is "seven billion, nine hundred eighty-three million, one hundred fifty-seven thousand, one hundred twenty".