811316800080 has 240 divisors, whose sum is σ = 2877976797696. Its totient is φ = 204502717440.

The previous prime is 811316800051. The next prime is 811316800081. The reversal of 811316800080 is 80008613118.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811316800081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537094 + ... + 1382426.

Almost surely, 2^811316800080 is an apocalyptic number.

811316800080 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 811316800080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438988398848).

811316800080 is an abundant number, since it is smaller than the sum of its proper divisors (2066659997616).

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

811316800080 is a wasteful number, since it uses less digits than its factorization.

811316800080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845426 (or 845417 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 811316800080 in words is "eight hundred eleven billion, three hundred sixteen million, eight hundred thousand, eighty".