820382785 has 8 divisors (see below), whose sum is σ = 984747816. Its totient is φ = 656113920.

The previous prime is 820382747. The next prime is 820382861. The reversal of 820382785 is 587283028.

It can be written as a sum of positive squares in 4 ways, for example, as 591361 + 819791424 = 769^2 + 28632^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 820382785 - 2¹⁷ = 820251713 is a prime.

It is a Duffinian number.

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, 3706 + ... + 40675.

It is an arithmetic number, because the mean of its divisors is an integer number (123093477).

Almost surely, 2^820382785 is an apocalyptic number.

It is an amenable number.

820382785 is a deficient number, since it is larger than the sum of its proper divisors (164365031).

820382785 is a wasteful number, since it uses less digits than its factorization.

820382785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48083.

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 820382785 is about 28642.3250627459. The cubic root of 820382785 is about 936.1357831509.

The spelling of 820382785 in words is "eight hundred twenty million, three hundred eighty-two thousand, seven hundred eighty-five".