800200000 has 84 divisors (see below), whose sum is σ = 1985240124. Its totient is φ = 320000000.

The previous prime is 800199973. The next prime is 800200001. The reversal of 800200000 is 2008.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 784896256 + 15303744 = 28016^2 + 3912^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 800200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800200001) 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 11 ways as a sum of consecutive naturals, for example, 198000 + ... + 202000.

It is an arithmetic number, because the mean of its divisors is an integer number (23633811).

Almost surely, 2^800200000 is an apocalyptic number.

800200000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992620062).

800200000 is an abundant number, since it is smaller than the sum of its proper divisors (1185040124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800200000 is an frugal number, since it uses more digits than its factorization.

800200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 800200000 is about 28287.8065604246. The cubic root of 800200000 is about 928.3951200907.

Adding to 800200000 its reverse (2008), we get a palindrome (800202008).

The spelling of 800200000 in words is "eight hundred million, two hundred thousand".