810104838400 has 864 divisors, whose sum is σ = 2466055912320. Its totient is φ = 259424256000.

The previous prime is 810104838377. The next prime is 810104838401. The reversal of 810104838400 is 4838401018.

It is a super-2 number, since 2×810104838400² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 810104838400.

It is not an unprimeable number, because it can be changed into a prime (810104838401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3476844684 + ... + 3476844916.

It is an arithmetic number, because the mean of its divisors is an integer number (2854231380).

Almost surely, 2^810104838400 is an apocalyptic number.

810104838400 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 810104838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233027956160).

810104838400 is an abundant number, since it is smaller than the sum of its proper divisors (1655951073920).

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

810104838400 is a wasteful number, since it uses less digits than its factorization.

810104838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 810104838400 in words is "eight hundred ten billion, one hundred four million, eight hundred thirty-eight thousand, four hundred".