802924304 has 80 divisors (see below), whose sum is σ = 1976540160. Its totient is φ = 307376640.

The previous prime is 802924301. The next prime is 802924307. The reversal of 802924304 is 403429208.

It is an interprime number because it is at equal distance from previous prime (802924301) and next prime (802924307).

It is not an unprimeable number, because it can be changed into a prime (802924301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36242 + ... + 54030.

It is an arithmetic number, because the mean of its divisors is an integer number (24706752).

Almost surely, 2^802924304 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 802924304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988270080).

802924304 is an abundant number, since it is smaller than the sum of its proper divisors (1173615856).

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

802924304 is a wasteful number, since it uses less digits than its factorization.

802924304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17848 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 802924304 is about 28335.9189722162. The cubic root of 802924304 is about 929.4475093585.

The spelling of 802924304 in words is "eight hundred two million, nine hundred twenty-four thousand, three hundred four".