811316800 has 168 divisors, whose sum is σ = 2306263104. Its totient is φ = 275159040.

The previous prime is 811316761. The next prime is 811316801. The reversal of 811316800 is 8613118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (811316801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1198062 + ... + 1198738.

Almost surely, 2^811316800 is an apocalyptic number.

811316800 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 811316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153131552).

811316800 is an abundant number, since it is smaller than the sum of its proper divisors (1494946304).

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

811316800 is a wasteful number, since it uses less digits than its factorization.

811316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 811316800 is about 28483.6233650145. The cubic root of 811316800 is about 932.6746145704.

Adding to 811316800 its reverse (8613118), we get a palindrome (819929918).

The spelling of 811316800 in words is "eight hundred eleven million, three hundred sixteen thousand, eight hundred".