7879984 has 90 divisors (see below), whose sum is σ = 19543020. Its totient is φ = 3060288.

The previous prime is 7879979. The next prime is 7879999. The reversal of 7879984 is 4899787.

It is a happy number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 342597 + ... + 342619.

Almost surely, 2^7879984 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 7879984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771510).

7879984 is an abundant number, since it is smaller than the sum of its proper divisors (11663036).

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

7879984 is a wasteful number, since it uses less digits than its factorization.

7879984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 52.

The square root of 7879984 is about 2807.1309196402. The cubic root of 7879984 is about 198.9948232284.

The spelling of 7879984 in words is "seven million, eight hundred seventy-nine thousand, nine hundred eighty-four".