7982884 has 54 divisors (see below), whose sum is σ = 17670114. Its totient is φ = 3144960.

The previous prime is 7982879. The next prime is 7982893. The reversal of 7982884 is 4882897.

It can be written as a sum of positive squares in 3 ways, for example, as 142884 + 7840000 = 378^2 + 2800^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33004 + ... + 33244.

Almost surely, 2^7982884 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 7982884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835057).

7982884 is an abundant number, since it is smaller than the sum of its proper divisors (9687230).

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

7982884 is a wasteful number, since it uses less digits than its factorization.

7982884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 263 counting only the distinct ones).

The product of its digits is 258048, while the sum is 46.

The square root of 7982884 is about 2825.3997947193. The cubic root of 7982884 is about 199.8572648242.

The spelling of 7982884 in words is "seven million, nine hundred eighty-two thousand, eight hundred eighty-four".