810722304 has 352 divisors, whose sum is σ = 2829772800. Its totient is φ = 224501760.

The previous prime is 810722303. The next prime is 810722309. The reversal of 810722304 is 403227018.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (810722303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11418589 + ... + 11418659.

Almost surely, 2^810722304 is an apocalyptic number.

810722304 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 810722304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414886400).

810722304 is an abundant number, since it is smaller than the sum of its proper divisors (2019050496).

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

810722304 is a wasteful number, since it uses less digits than its factorization.

810722304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 810722304 is about 28473.1857016387. The cubic root of 810722304 is about 932.4467517458.

The spelling of 810722304 in words is "eight hundred ten million, seven hundred twenty-two thousand, three hundred four".