7984760112 has 160 divisors (see below), whose sum is σ = 26728448000. Its totient is φ = 2281317696.

The previous prime is 7984760093. The next prime is 7984760137. The reversal of 7984760112 is 2110674897.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121233 + ... + 175119.

It is an arithmetic number, because the mean of its divisors is an integer number (167052800).

Almost surely, 2^7984760112 is an apocalyptic number.

7984760112 is a gapful number since it is divisible by the number (72) 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 7984760112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13364224000).

7984760112 is an abundant number, since it is smaller than the sum of its proper divisors (18743687888).

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

7984760112 is a wasteful number, since it uses less digits than its factorization.

7984760112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53925 (or 53899 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7984760112 is about 89357.4849243196. The cubic root of 7984760112 is about 1998.7292020406.

The spelling of 7984760112 in words is "seven billion, nine hundred eighty-four million, seven hundred sixty thousand, one hundred twelve".