803834304 has 168 divisors, whose sum is σ = 2632740480. Its totient is φ = 211940352.

The previous prime is 803834299. The next prime is 803834357. The reversal of 803834304 is 403438308.

803834304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×803834304² = 1292299176574328832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225367 + ... + 228905.

Almost surely, 2^803834304 is an apocalyptic number.

803834304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 803834304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316370240).

803834304 is an abundant number, since it is smaller than the sum of its proper divisors (1828906176).

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

803834304 is a wasteful number, since it uses less digits than its factorization.

803834304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 803834304 is about 28351.9717832817. The cubic root of 803834304 is about 929.7985087824.

The spelling of 803834304 in words is "eight hundred three million, eight hundred thirty-four thousand, three hundred four".