7978112 has 32 divisors (see below), whose sum is σ = 16035420. Its totient is φ = 3953664.

The previous prime is 7978099. The next prime is 7978169. The reversal of 7978112 is 2118797.

It can be written as a sum of positive squares in 2 ways, for example, as 7974976 + 3136 = 2824^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 19898 + ... + 20294.

Almost surely, 2^7978112 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 7978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017710).

7978112 is an abundant number, since it is smaller than the sum of its proper divisors (8057308).

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

7978112 is a wasteful number, since it uses less digits than its factorization.

7978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its digits is 7056, while the sum is 35.

The square root of 7978112 is about 2824.5551862196. Note that the first 3 decimals coincide. The cubic root of 7978112 is about 199.8174333979.

The spelling of 7978112 in words is "seven million, nine hundred seventy-eight thousand, one hundred twelve".