7882168 has 32 divisors (see below), whose sum is σ = 17307360. Its totient is φ = 3294720.

The previous prime is 7882129. The next prime is 7882177. The reversal of 7882168 is 8612887.

7882168 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 7882168.

It is a congruent number.

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, 580 + ... + 4012.

It is an arithmetic number, because the mean of its divisors is an integer number (540855).

Almost surely, 2^7882168 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 7882168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8653680).

7882168 is an abundant number, since it is smaller than the sum of its proper divisors (9425192).

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

7882168 is a wasteful number, since it uses less digits than its factorization.

7882168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3487 (or 3483 counting only the distinct ones).

The product of its digits is 43008, while the sum is 40.

The square root of 7882168 is about 2807.5199019775. The cubic root of 7882168 is about 199.0132058608.

The spelling of 7882168 in words is "seven million, eight hundred eighty-two thousand, one hundred sixty-eight".