7988800 has 42 divisors (see below), whose sum is σ = 19661378. Its totient is φ = 3194880.

The previous prime is 7988789. The next prime is 7988801. The reversal of 7988800 is 88897.

It can be written as a sum of positive squares in 3 ways, for example, as 238144 + 7750656 = 488^2 + 2784^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7988801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 897 + ... + 4096.

Almost surely, 2^7988800 is an apocalyptic number.

It is an amenable number.

7988800 is an abundant number, since it is smaller than the sum of its proper divisors (11672578).

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

7988800 is a wasteful number, since it uses less digits than its factorization.

7988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The square root of 7988800 is about 2826.4465323087. The cubic root of 7988800 is about 199.9066230772.

The spelling of 7988800 in words is "seven million, nine hundred eighty-eight thousand, eight hundred".