811268600 has 48 divisors (see below), whose sum is σ = 1890489120. Its totient is φ = 323769600.

The previous prime is 811268597. The next prime is 811268609. The reversal of 811268600 is 6862118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811268609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88220 + ... + 96980.

It is an arithmetic number, because the mean of its divisors is an integer number (39385190).

Almost surely, 2^811268600 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 811268600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945244560).

811268600 is an abundant number, since it is smaller than the sum of its proper divisors (1079220520).

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

811268600 is a wasteful number, since it uses less digits than its factorization.

811268600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 811268600 is about 28482.7772522274. Note that the first 3 decimals coincide. The cubic root of 811268600 is about 932.6561442653.

The spelling of 811268600 in words is "eight hundred eleven million, two hundred sixty-eight thousand, six hundred".