800200820 has 48 divisors (see below), whose sum is σ = 1770612480. Its totient is φ = 303173376.

The previous prime is 800200787. The next prime is 800200853. The reversal of 800200820 is 28002008.

800200820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (800200787) and next prime (800200853).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 800200792 and 800200801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38936 + ... + 55824.

It is an arithmetic number, because the mean of its divisors is an integer number (36887760).

Almost surely, 2^800200820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800200820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885306240).

800200820 is an abundant number, since it is smaller than the sum of its proper divisors (970411660).

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

800200820 is a wasteful number, since it uses less digits than its factorization.

800200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17024 (or 17022 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 800200820 is about 28287.8210542983. The cubic root of 800200820 is about 928.3954372130.

Adding to 800200820 its reverse (28002008), we get a palindrome (828202828).

The spelling of 800200820 in words is "eight hundred million, two hundred thousand, eight hundred twenty".