7984768 has 64 divisors (see below), whose sum is σ = 17845920. Its totient is φ = 3527680.

The previous prime is 7984759. The next prime is 7984787. The reversal of 7984768 is 8674897.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 74571 + ... + 74677.

Almost surely, 2^7984768 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 7984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8922960).

7984768 is an abundant number, since it is smaller than the sum of its proper divisors (9861152).

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

7984768 is a wasteful number, since it uses less digits than its factorization.

7984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 7984768 is about 2825.7331791944. The cubic root of 7984768 is about 199.8729860210.

The spelling of 7984768 in words is "seven million, nine hundred eighty-four thousand, seven hundred sixty-eight".