304080800 has 72 divisors (see below), whose sum is σ = 762474636. Its totient is φ = 118333440.

The previous prime is 304080779. The next prime is 304080811. The reversal of 304080800 is 8080403.

It can be written as a sum of positive squares in 6 ways, for example, as 133726096 + 170354704 = 11564^2 + 13052^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24464 + ... + 34736.

Almost surely, 2^304080800 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 304080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381237318).

304080800 is an abundant number, since it is smaller than the sum of its proper divisors (458393836).

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

304080800 is a wasteful number, since it uses less digits than its factorization.

304080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 304080800 is about 17437.9127191301. The cubic root of 304080800 is about 672.4546479276.

The spelling of 304080800 in words is "three hundred four million, eighty thousand, eight hundred".