7883264 has 40 divisors (see below), whose sum is σ = 16020180. Its totient is φ = 3874816.

The previous prime is 7883261. The next prime is 7883297. The reversal of 7883264 is 4623887.

It can be written as a sum of positive squares in 2 ways, for example, as 7840000 + 43264 = 2800^2 + 208^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7883261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45482 + ... + 45654.

Almost surely, 2^7883264 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 7883264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010090).

7883264 is an abundant number, since it is smaller than the sum of its proper divisors (8136916).

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

7883264 is an equidigital number, since it uses as much as digits as its factorization.

7883264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 264 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 7883264 is about 2807.7150852606. The cubic root of 7883264 is about 199.0224295653.

The spelling of 7883264 in words is "seven million, eight hundred eighty-three thousand, two hundred sixty-four".