7882336 has 72 divisors (see below), whose sum is σ = 19736136. Its totient is φ = 3064320.

The previous prime is 7882333. The next prime is 7882361. The reversal of 7882336 is 6332887.

7882336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 7882295 and 7882304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17020 + ... + 17476.

It is an arithmetic number, because the mean of its divisors is an integer number (274113).

Almost surely, 2^7882336 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 7882336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868068).

7882336 is an abundant number, since it is smaller than the sum of its proper divisors (11853800).

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

7882336 is a wasteful number, since it uses less digits than its factorization.

7882336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 7882336 is about 2807.5498214635. The cubic root of 7882336 is about 199.0146197688.

The spelling of 7882336 in words is "seven million, eight hundred eighty-two thousand, three hundred thirty-six".