800098200 has 288 divisors, whose sum is σ = 3105002160. Its totient is φ = 182476800.

The previous prime is 800098153. The next prime is 800098207. The reversal of 800098200 is 2890008.

800098200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800098207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 335412 + ... + 337788.

Almost surely, 2^800098200 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 800098200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552501080).

800098200 is an abundant number, since it is smaller than the sum of its proper divisors (2304903960).

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

800098200 is a wasteful number, since it uses less digits than its factorization.

800098200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2427 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800098200 is about 28286.0071413411. The cubic root of 800098200 is about 928.3557488371.

It can be divided in two parts, 80009 and 8200, that added together give a square (88209 = 297²).

The spelling of 800098200 in words is "eight hundred million, ninety-eight thousand, two hundred".