7988023680 has 512 divisors, whose sum is σ = 31667328000. Its totient is φ = 1667727360.

The previous prime is 7988023679. The next prime is 7988023711. The reversal of 7988023680 is 863208897.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22888146 + ... + 22888494.

It is an arithmetic number, because the mean of its divisors is an integer number (61850250).

Almost surely, 2^7988023680 is an apocalyptic number.

7988023680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7988023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15833664000).

7988023680 is an abundant number, since it is smaller than the sum of its proper divisors (23679304320).

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

7988023680 is a wasteful number, since it uses less digits than its factorization.

7988023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 7988023680 is about 89375.7443605367. The cubic root of 7988023680 is about 1999.0014748901.

The spelling of 7988023680 in words is "seven billion, nine hundred eighty-eight million, twenty-three thousand, six hundred eighty".