805813272 has 256 divisors, whose sum is σ = 2550528000. Its totient is φ = 236545920.

The previous prime is 805813259. The next prime is 805813273. The reversal of 805813272 is 272318508.

805813272 is a `hidden beast` number, since 8 + 0 + 581 + 3 + 2 + 72 = 666.

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 (805813273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10200129 + ... + 10200207.

It is an arithmetic number, because the mean of its divisors is an integer number (9963000).

Almost surely, 2^805813272 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 805813272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275264000).

805813272 is an abundant number, since it is smaller than the sum of its proper divisors (1744714728).

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

805813272 is a wasteful number, since it uses less digits than its factorization.

805813272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 805813272 is about 28386.8503360271. The cubic root of 805813272 is about 930.5609103298.

The spelling of 805813272 in words is "eight hundred five million, eight hundred thirteen thousand, two hundred seventy-two".