811240320 has 256 divisors, whose sum is σ = 2865922560. Its totient is φ = 193536000.

The previous prime is 811240273. The next prime is 811240349. The reversal of 811240320 is 23042118.

It is a super-2 number, since 2×811240320² = 1316221713587404800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499250 + ... + 1499790.

It is an arithmetic number, because the mean of its divisors is an integer number (11195010).

Almost surely, 2^811240320 is an apocalyptic number.

811240320 is a gapful number since it is divisible by the number (80) 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 811240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432961280).

811240320 is an abundant number, since it is smaller than the sum of its proper divisors (2054682240).

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

811240320 is a wasteful number, since it uses less digits than its factorization.

811240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 811240320 is about 28482.2808075477. The cubic root of 811240320 is about 932.6453069905.

Adding to 811240320 its reverse (23042118), we get a palindrome (834282438).

The spelling of 811240320 in words is "eight hundred eleven million, two hundred forty thousand, three hundred twenty".