811206900 has 432 divisors, whose sum is σ = 3184796160. Its totient is φ = 174960000.

The previous prime is 811206883. The next prime is 811206947. The reversal of 811206900 is 9602118.

It is a super-2 number, since 2×811206900² = 1316113269215220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3231775 + ... + 3232025.

Almost surely, 2^811206900 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 811206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592398080).

811206900 is an abundant number, since it is smaller than the sum of its proper divisors (2373589260).

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

811206900 is a wasteful number, since it uses less digits than its factorization.

811206900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 811206900 is about 28481.6941209613. The cubic root of 811206900 is about 932.6324996741.

The spelling of 811206900 in words is "eight hundred eleven million, two hundred six thousand, nine hundred".