800035435809 has 135 divisors (see below), whose sum is σ = 1302643615273. Its totient is φ = 489269664576.

The previous prime is 800035435757. The next prime is 800035435811. The reversal of 800035435809 is 908534530008.

It is a happy number.

The square root of 800035435809 is 894447.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 128094557409 + 671940878400 = 357903^2 + 819720^2 .

It is not a de Polignac number, because 800035435809 - 2¹¹ = 800035433761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (800035430809) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5369365267 + ... + 5369365415.

Almost surely, 2^800035435809 is an apocalyptic number.

800035435809 is the 894447-th square number.

800035435809 is the 447224-th centered octagonal number.

It is an amenable number.

800035435809 is a deficient number, since it is larger than the sum of its proper divisors (502608179464).

800035435809 is an equidigital number, since it uses as much as digits as its factorization.

800035435809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 800035435809 in words is "eight hundred billion, thirty-five million, four hundred thirty-five thousand, eight hundred nine".