810809272 has 72 divisors (see below), whose sum is σ = 1915131600. Its totient is φ = 320733504.

The previous prime is 810809257. The next prime is 810809281. The reversal of 810809272 is 272908018.

It is a super-2 number, since 2×810809272² = 1314823351122339968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 60129 + ... + 72367.

It is an arithmetic number, because the mean of its divisors is an integer number (26599050).

Almost surely, 2^810809272 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 810809272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957565800).

810809272 is an abundant number, since it is smaller than the sum of its proper divisors (1104322328).

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

810809272 is a wasteful number, since it uses less digits than its factorization.

810809272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12285 (or 12261 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 810809272 is about 28474.7128519323. The cubic root of 810809272 is about 932.4800924385.

The spelling of 810809272 in words is "eight hundred ten million, eight hundred nine thousand, two hundred seventy-two".