7882920 has 96 divisors (see below), whose sum is σ = 26601120. Its totient is φ = 2099520.

The previous prime is 7882909. The next prime is 7882939. The reversal of 7882920 is 292887.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9315 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (277095).

Almost surely, 2^7882920 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 7882920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13300560).

7882920 is an abundant number, since it is smaller than the sum of its proper divisors (18718200).

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

7882920 is a wasteful number, since it uses less digits than its factorization.

7882920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7882920 is about 2807.6538248153. The cubic root of 7882920 is about 199.0195346260.

The spelling of 7882920 in words is "seven million, eight hundred eighty-two thousand, nine hundred twenty".