820908712 has 24 divisors (see below), whose sum is σ = 1666714590. Its totient is φ = 378880320.

The previous prime is 820908619. The next prime is 820908731. The reversal of 820908712 is 217809028.

It can be written as a sum of positive squares in 3 ways, for example, as 167288356 + 653620356 = 12934^2 + 25566^2 .

It is a super-2 number, since 2×820908712² = 1347782226874997888, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 302239 + ... + 304942.

Almost surely, 2^820908712 is an apocalyptic number.

It is an amenable number.

820908712 is an abundant number, since it is smaller than the sum of its proper divisors (845805878).

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

820908712 is a wasteful number, since it uses less digits than its factorization.

820908712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607213 (or 607196 counting only the distinct ones).

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

The square root of 820908712 is about 28651.5045329211. The cubic root of 820908712 is about 936.3357848744.

The spelling of 820908712 in words is "eight hundred twenty million, nine hundred eight thousand, seven hundred twelve".