810120616200 has 864 divisors, whose sum is σ = 3218777377920. Its totient is φ = 182044800000.

The previous prime is 810120616189. The next prime is 810120616219. The reversal of 810120616200 is 2616021018.

810120616200 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 20 + 616 + 20 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1879629985 + ... + 1879630415.

It is an arithmetic number, because the mean of its divisors is an integer number (3725436780).

Almost surely, 2^810120616200 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 810120616200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609388688960).

810120616200 is an abundant number, since it is smaller than the sum of its proper divisors (2408656761720).

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

810120616200 is a wasteful number, since it uses less digits than its factorization.

810120616200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 810120616200 its reverse (2616021018), we get a palindrome (812736637218).

The spelling of 810120616200 in words is "eight hundred ten billion, one hundred twenty million, six hundred sixteen thousand, two hundred".