811816704 has 216 divisors, whose sum is σ = 2453658480. Its totient is φ = 257900544.

The previous prime is 811816703. The next prime is 811816711. The reversal of 811816704 is 407618118.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811816703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7587019 + ... + 7587125.

It is an arithmetic number, because the mean of its divisors is an integer number (11359530).

Almost surely, 2^811816704 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 811816704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226829240).

811816704 is an abundant number, since it is smaller than the sum of its proper divisors (1641841776).

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

811816704 is a wasteful number, since it uses less digits than its factorization.

811816704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 811816704 is about 28492.3973017365. The cubic root of 811816704 is about 932.8661353351.

The spelling of 811816704 in words is "eight hundred eleven million, eight hundred sixteen thousand, seven hundred four".