7988080 has 40 divisors (see below), whose sum is σ = 19177344. Its totient is φ = 3091200.

The previous prime is 7988063. The next prime is 7988081. The reversal of 7988080 is 808897.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7988081) 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 7 ways as a sum of consecutive naturals, for example, 870 + ... + 4090.

Almost surely, 2^7988080 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 7988080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9588672).

7988080 is an abundant number, since it is smaller than the sum of its proper divisors (11189264).

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

7988080 is a wasteful number, since it uses less digits than its factorization.

7988080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265 (or 3259 counting only the distinct ones).

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

The square root of 7988080 is about 2826.3191610291. The cubic root of 7988080 is about 199.9006172902.

The spelling of 7988080 in words is "seven million, nine hundred eighty-eight thousand, eighty".