811087272 has 192 divisors, whose sum is σ = 2482721280. Its totient is φ = 237828096.

The previous prime is 811087271. The next prime is 811087313. The reversal of 811087272 is 272780118.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (811087271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1322838 + ... + 1323450.

It is an arithmetic number, because the mean of its divisors is an integer number (12930840).

Almost surely, 2^811087272 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 811087272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241360640).

811087272 is an abundant number, since it is smaller than the sum of its proper divisors (1671634008).

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

811087272 is a wasteful number, since it uses less digits than its factorization.

811087272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 811087272 is about 28479.5939577797. The cubic root of 811087272 is about 932.5866525767.

The spelling of 811087272 in words is "eight hundred eleven million, eighty-seven thousand, two hundred seventy-two".