820508705 has 8 divisors (see below), whose sum is σ = 984849192. Its totient is φ = 656247808.

The previous prime is 820508699. The next prime is 820508719. The reversal of 820508705 is 507805028.

820508705 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 42823936 + 777684769 = 6544^2 + 27887^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 820508705 - 2¹⁸ = 820246561 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5807 + ... + 40923.

It is an arithmetic number, because the mean of its divisors is an integer number (123106149).

Almost surely, 2^820508705 is an apocalyptic number.

It is an amenable number.

820508705 is a deficient number, since it is larger than the sum of its proper divisors (164340487).

820508705 is a wasteful number, since it uses less digits than its factorization.

820508705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39795.

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 820508705 is about 28644.5231239761. The cubic root of 820508705 is about 936.1836763172.

The spelling of 820508705 in words is "eight hundred twenty million, five hundred eight thousand, seven hundred five".