820483807 has 16 divisors (see below), whose sum is σ = 1005838848. Its totient is φ = 658579680.

The previous prime is 820483757. The next prime is 820483819. The reversal of 820483807 is 708384028.

It is not a de Polignac number, because 820483807 - 2²⁷ = 686266079 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 820483807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820483877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121443 + ... + 128020.

It is an arithmetic number, because the mean of its divisors is an integer number (62864928).

Almost surely, 2^820483807 is an apocalyptic number.

820483807 is a deficient number, since it is larger than the sum of its proper divisors (185355041).

820483807 is a wasteful number, since it uses less digits than its factorization.

820483807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249510.

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 820483807 is about 28644.0885175284. The cubic root of 820483807 is about 936.1742068516.

The spelling of 820483807 in words is "eight hundred twenty million, four hundred eighty-three thousand, eight hundred seven".