820089907 has 24 divisors (see below), whose sum is σ = 1018241280. Its totient is φ = 646719840.

The previous prime is 820089901. The next prime is 820089931. The reversal of 820089907 is 709980028.

It is not a de Polignac number, because 820089907 - 2³ = 820089899 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820089901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 423732 + ... + 425662.

It is an arithmetic number, because the mean of its divisors is an integer number (42426720).

Almost surely, 2^820089907 is an apocalyptic number.

820089907 is a deficient number, since it is larger than the sum of its proper divisors (198151373).

820089907 is a wasteful number, since it uses less digits than its factorization.

820089907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 820089907 is about 28637.2119278396. The cubic root of 820089907 is about 936.0243692215.

The spelling of 820089907 in words is "eight hundred twenty million, eighty-nine thousand, nine hundred seven".