7986880 has 56 divisors (see below), whose sum is σ = 20756880. Its totient is φ = 2903040.

The previous prime is 7986877. The next prime is 7986893. The reversal of 7986880 is 886897.

It is a self number, because there is not a number n which added to its sum of digits gives 7986880.

It is an unprimeable number.

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, 2386 + ... + 4654.

Almost surely, 2^7986880 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 7986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378440).

7986880 is an abundant number, since it is smaller than the sum of its proper divisors (12770000).

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

7986880 is a wasteful number, since it uses less digits than its factorization.

7986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2287 counting only the distinct ones).

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

The square root of 7986880 is about 2826.1068628061. The cubic root of 7986880 is about 199.8906068433.

The spelling of 7986880 in words is "seven million, nine hundred eighty-six thousand, eight hundred eighty".