813220097976 has 1280 divisors, whose sum is σ = 2906082748800. Its totient is φ = 210760704000.

The previous prime is 813220097951. The next prime is 813220098011. The reversal of 813220097976 is 679790022318.

It is a super-2 number, since 2×813220097976² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13331476986 + ... + 13331477046.

Almost surely, 2^813220097976 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 813220097976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453041374400).

813220097976 is an abundant number, since it is smaller than the sum of its proper divisors (2092862650824).

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

813220097976 is a wasteful number, since it uses less digits than its factorization.

813220097976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 813220097976 in words is "eight hundred thirteen billion, two hundred twenty million, ninety-seven thousand, nine hundred seventy-six".