7988680 has 64 divisors (see below), whose sum is σ = 20816640. Its totient is φ = 2702592.

The previous prime is 7988663. The next prime is 7988689. The reversal of 7988680 is 868897.

It is a self number, because there is not a number n which added to its sum of digits gives 7988680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7988689) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28702 + ... + 28978.

It is an arithmetic number, because the mean of its divisors is an integer number (325260).

Almost surely, 2^7988680 is an apocalyptic number.

7988680 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 7988680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10408320).

7988680 is an abundant number, since it is smaller than the sum of its proper divisors (12827960).

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

7988680 is a wasteful number, since it uses less digits than its factorization.

7988680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 7988680 is about 2826.4253041607. The cubic root of 7988680 is about 199.9056221378.

It can be divided in two parts, 7988 and 680, that added together give a palindrome (8668).

The spelling of 7988680 in words is "seven million, nine hundred eighty-eight thousand, six hundred eighty".