820347272 has 32 divisors (see below), whose sum is σ = 1550448000. Its totient is φ = 406907904.

The previous prime is 820347247. The next prime is 820347289. The reversal of 820347272 is 272743028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924413 + ... + 925299.

It is an arithmetic number, because the mean of its divisors is an integer number (48451500).

Almost surely, 2^820347272 is an apocalyptic number.

It is an amenable number.

820347272 is a deficient number, since it is larger than the sum of its proper divisors (730100728).

820347272 is a wasteful number, since it uses less digits than its factorization.

820347272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 820347272 is about 28641.7051168397. The cubic root of 820347272 is about 936.1222750381.

The spelling of 820347272 in words is "eight hundred twenty million, three hundred forty-seven thousand, two hundred seventy-two".