7882056 has 128 divisors (see below), whose sum is σ = 27014400. Its totient is φ = 2073600.

The previous prime is 7882051. The next prime is 7882097. The reversal of 7882056 is 6502887.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 7882056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7882051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19456 + ... + 19856.

It is an arithmetic number, because the mean of its divisors is an integer number (211050).

Almost surely, 2^7882056 is an apocalyptic number.

It is a pronic number, being equal to 2807×2808.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7882056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507200).

7882056 is an abundant number, since it is smaller than the sum of its proper divisors (19132344).

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

7882056 is a wasteful number, since it uses less digits than its factorization.

7882056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7882056 is about 2807.4999554764. The cubic root of 7882056 is about 199.0122632443.

The spelling of 7882056 in words is "seven million, eight hundred eighty-two thousand, fifty-six".