810507378816 has 256 divisors, whose sum is σ = 2505185280000. Its totient is φ = 260850336768.

The previous prime is 810507378743. The next prime is 810507378853. The reversal of 810507378816 is 618873705018.

It is a happy number.

810507378816 is a `hidden beast` number, since 8 + 10 + 507 + 37 + 88 + 16 = 666.

It is a super-2 number, since 2×810507378816² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8068225 + ... + 8168063.

It is an arithmetic number, because the mean of its divisors is an integer number (9785880000).

Almost surely, 2^810507378816 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 810507378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252592640000).

810507378816 is an abundant number, since it is smaller than the sum of its proper divisors (1694677901184).

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

810507378816 is an frugal number, since it uses more digits than its factorization.

810507378816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99903 (or 99873 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 810507378816 in words is "eight hundred ten billion, five hundred seven million, three hundred seventy-eight thousand, eight hundred sixteen".