800620200 has 240 divisors, whose sum is σ = 2822927580. Its totient is φ = 210263040.

The previous prime is 800620199. The next prime is 800620201. The reversal of 800620200 is 2026008.

It is an interprime number because it is at equal distance from previous prime (800620199) and next prime (800620201).

It can be written as a sum of positive squares in 6 ways, for example, as 589615524 + 211004676 = 24282^2 + 14526^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (800620201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1182262 + ... + 1182938.

Almost surely, 2^800620200 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 800620200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411463790).

800620200 is an abundant number, since it is smaller than the sum of its proper divisors (2022307380).

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

800620200 is a wasteful number, since it uses less digits than its factorization.

800620200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 800620200 is about 28295.2328140272. The cubic root of 800620200 is about 928.5575975398.

Adding to 800620200 its reverse (2026008), we get a palindrome (802646208).

The spelling of 800620200 in words is "eight hundred million, six hundred twenty thousand, two hundred".