7988608800 has 720 divisors, whose sum is σ = 30943769472. Its totient is φ = 2003097600.

The previous prime is 7988608799. The next prime is 7988608813. The reversal of 7988608800 is 88068897.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 130960770 + ... + 130960830.

Almost surely, 2^7988608800 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 7988608800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471884736).

7988608800 is an abundant number, since it is smaller than the sum of its proper divisors (22955160672).

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

7988608800 is a wasteful number, since it uses less digits than its factorization.

7988608800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The square root of 7988608800 is about 89379.0176719346. The cubic root of 7988608800 is about 1999.0502824230.

The spelling of 7988608800 in words is "seven billion, nine hundred eighty-eight million, six hundred eight thousand, eight hundred".