810363072 has 224 divisors, whose sum is σ = 2435961600. Its totient is φ = 236224512.

The previous prime is 810363023. The next prime is 810363077. The reversal of 810363072 is 270363018.

It is a super-2 number, since 2×810363072² = 1313376616922554368, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (810363077) 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, 4527079 + ... + 4527257.

Almost surely, 2^810363072 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 810363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217980800).

810363072 is an abundant number, since it is smaller than the sum of its proper divisors (1625598528).

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

810363072 is a wasteful number, since it uses less digits than its factorization.

810363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 810363072 is about 28466.8767517619. The cubic root of 810363072 is about 932.3090086507.

The spelling of 810363072 in words is "eight hundred ten million, three hundred sixty-three thousand, seventy-two".