802304 has 20 divisors (see below), whose sum is σ = 1604064. Its totient is φ = 400896.

The previous prime is 802297. The next prime is 802331. The reversal of 802304 is 403208.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

802304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 272 + ... + 1295.

2⁸⁰²³⁰⁴ is an apocalyptic number.

It is an amenable number.

802304 is a deficient number, since it is larger than the sum of its proper divisors (801760).

802304 is an equidigital number, since it uses as much as digits as its factorization.

802304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 802304 is about 895.7142401458. The cubic root of 802304 is about 92.9208097607.

The spelling of 802304 in words is "eight hundred two thousand, three hundred four".