7988908320 has 432 divisors, whose sum is σ = 29511832896. Its totient is φ = 1964160000.

The previous prime is 7988908309. The next prime is 7988908337. The reversal of 7988908320 is 238098897.

It is a super-2 number, since 2×7988908320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31828195 + ... + 31828445.

It is an arithmetic number, because the mean of its divisors is an integer number (68314428).

Almost surely, 2^7988908320 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 7988908320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14755916448).

7988908320 is an abundant number, since it is smaller than the sum of its proper divisors (21522924576).

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

7988908320 is a wasteful number, since it uses less digits than its factorization.

7988908320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 7988908320 is about 89380.6932172715. The cubic root of 7988908320 is about 1999.0752658326.

The spelling of 7988908320 in words is "seven billion, nine hundred eighty-eight million, nine hundred eight thousand, three hundred twenty".