7884864 has 147 divisors (see below), whose sum is σ = 25402413. Its totient is φ = 2426112.

The previous prime is 7884857. The next prime is 7884869. The reversal of 7884864 is 4684887.

The square root of 7884864 is 2808.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1166400 + 6718464 = 1080^2 + 2592^2 .

Its product of digits (344064) is a multiple of the sum of its prime factors (56).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (7884869) 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 20 ways as a sum of consecutive naturals, for example, 606522 + ... + 606534.

Almost surely, 2^7884864 is an apocalyptic number.

7884864 is the 2808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7884864

7884864 is an abundant number, since it is smaller than the sum of its proper divisors (17517549).

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

7884864 is an equidigital number, since it uses as much as digits as its factorization.

7884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The cubic root of 7884864 is about 199.0358932924.

The spelling of 7884864 in words is "seven million, eight hundred eighty-four thousand, eight hundred sixty-four".