811836900 has 324 divisors, whose sum is σ = 3039063300. Its totient is φ = 180633600.

The previous prime is 811836899. The next prime is 811836967. The reversal of 811836900 is 9638118.

It can be written as a sum of positive squares in 6 ways, for example, as 105021504 + 706815396 = 10248^2 + 26586^2 .

It is a super-3 number, since 3×811836900³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1807876 + ... + 1808324.

It is an arithmetic number, because the mean of its divisors is an integer number (9379825).

Almost surely, 2^811836900 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 811836900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519531650).

811836900 is an abundant number, since it is smaller than the sum of its proper divisors (2227226400).

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

811836900 is a wasteful number, since it uses less digits than its factorization.

811836900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 811836900 is about 28492.7517098647. The cubic root of 811836900 is about 932.8738710748.

The spelling of 811836900 in words is "eight hundred eleven million, eight hundred thirty-six thousand, nine hundred".