7882368 has 64 divisors (see below), whose sum is σ = 22562400. Its totient is φ = 2423808.

The previous prime is 7882367. The next prime is 7882423. The reversal of 7882368 is 8632887.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4203 + ... + 5781.

Almost surely, 2^7882368 is an apocalyptic number.

7882368 is a gapful number since it is divisible by the number (78) 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 7882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11281200).

7882368 is an abundant number, since it is smaller than the sum of its proper divisors (14680032).

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

7882368 is a wasteful number, since it uses less digits than its factorization.

7882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609 (or 1597 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 7882368 is about 2807.5555203771. Note that the first 4 decimals coincide. The cubic root of 7882368 is about 199.0148890824.

The spelling of 7882368 in words is "seven million, eight hundred eighty-two thousand, three hundred sixty-eight".