7982912 has 56 divisors (see below), whose sum is σ = 18385536. Its totient is φ = 3368448.

The previous prime is 7982899. The next prime is 7982927. The reversal of 7982912 is 2192897.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46058 + ... + 46230.

Almost surely, 2^7982912 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 7982912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192768).

7982912 is an abundant number, since it is smaller than the sum of its proper divisors (10402624).

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

7982912 is a wasteful number, since it uses less digits than its factorization.

7982912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its digits is 18144, while the sum is 38.

The square root of 7982912 is about 2825.4047497660. The cubic root of 7982912 is about 199.8574984907.

The spelling of 7982912 in words is "seven million, nine hundred eighty-two thousand, nine hundred twelve".