7828880 has 20 divisors (see below), whose sum is σ = 18202332. Its totient is φ = 3131520.

The previous prime is 7828879. The next prime is 7828913. The reversal of 7828880 is 888287.

It can be written as a sum of positive squares in 2 ways, for example, as 4787344 + 3041536 = 2188^2 + 1744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×7828880² = 122582724108800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48851 + ... + 49010.

Almost surely, 2^7828880 is an apocalyptic number.

It is an amenable number.

7828880 is an abundant number, since it is smaller than the sum of its proper divisors (10373452).

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

7828880 is a wasteful number, since it uses less digits than its factorization.

7828880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97874 (or 97868 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 41.

The square root of 7828880 is about 2798.0135810964. The cubic root of 7828880 is about 198.5637100472.

The spelling of 7828880 in words is "seven million, eight hundred twenty-eight thousand, eight hundred eighty".