810398304 has 96 divisors (see below), whose sum is σ = 2370060000. Its totient is φ = 269402112.

The previous prime is 810398291. The next prime is 810398321. The reversal of 810398304 is 403893018.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×810398304² = 1313490822252152832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386892 + ... + 388980.

It is an arithmetic number, because the mean of its divisors is an integer number (24688125).

Almost surely, 2^810398304 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 810398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185030000).

810398304 is an abundant number, since it is smaller than the sum of its proper divisors (1559661696).

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

810398304 is a wasteful number, since it uses less digits than its factorization.

810398304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 810398304 is about 28467.4955695087. The cubic root of 810398304 is about 932.3225197283.

The spelling of 810398304 in words is "eight hundred ten million, three hundred ninety-eight thousand, three hundred four".