810807606120 has 128 divisors (see below), whose sum is σ = 2494067811840. Its totient is φ = 210756322560.

The previous prime is 810807606097. The next prime is 810807606121. The reversal of 810807606120 is 21606708018.

It is a super-2 number, since 2×810807606120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (810807606121) 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 31 ways as a sum of consecutive naturals, for example, 2373547 + ... + 2693573.

It is an arithmetic number, because the mean of its divisors is an integer number (19484904780).

Almost surely, 2^810807606120 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 810807606120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247033905920).

810807606120 is an abundant number, since it is smaller than the sum of its proper divisors (1683260205720).

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

810807606120 is a wasteful number, since it uses less digits than its factorization.

810807606120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320575 (or 320571 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 810807606120 in words is "eight hundred ten billion, eight hundred seven million, six hundred six thousand, one hundred twenty".