811791072 has 336 divisors, whose sum is σ = 2677237920. Its totient is φ = 240869376.

The previous prime is 811791059. The next prime is 811791073. The reversal of 811791072 is 270197118.

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 (811791073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9121204 + ... + 9121292.

It is an arithmetic number, because the mean of its divisors is an integer number (7967970).

Almost surely, 2^811791072 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 811791072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338618960).

811791072 is an abundant number, since it is smaller than the sum of its proper divisors (1865446848).

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

811791072 is a wasteful number, since it uses less digits than its factorization.

811791072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 811791072 is about 28491.9474939850. The cubic root of 811791072 is about 932.8563172417.

The spelling of 811791072 in words is "eight hundred eleven million, seven hundred ninety-one thousand, seventy-two".