811311072 has 192 divisors, whose sum is σ = 2528983296. Its totient is φ = 224501760.

The previous prime is 811311029. The next prime is 811311167. The reversal of 811311072 is 270113118.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551003 + ... + 1551525.

It is an arithmetic number, because the mean of its divisors is an integer number (13171788).

Almost surely, 2^811311072 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 811311072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264491648).

811311072 is an abundant number, since it is smaller than the sum of its proper divisors (1717672224).

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

811311072 is a wasteful number, since it uses less digits than its factorization.

811311072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 811311072 is about 28483.5228158316. The cubic root of 811311072 is about 932.6724196314.

The spelling of 811311072 in words is "eight hundred eleven million, three hundred eleven thousand, seventy-two".