805306272 has 48 divisors (see below), whose sum is σ = 2158918272. Its totient is φ = 262722560.

The previous prime is 805306267. The next prime is 805306273. The reversal of 805306272 is 272603508.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (805306273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84729 + ... + 93752.

It is an arithmetic number, because the mean of its divisors is an integer number (44977464).

Almost surely, 2^805306272 is an apocalyptic number.

It is an amenable number.

805306272 is an abundant number, since it is smaller than the sum of its proper divisors (1353612000).

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

805306272 is a wasteful number, since it uses less digits than its factorization.

805306272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178541 (or 178533 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 805306272 is about 28377.9187397526. The cubic root of 805306272 is about 930.3657065606.

The spelling of 805306272 in words is "eight hundred five million, three hundred six thousand, two hundred seventy-two".