800705200 has 90 divisors (see below), whose sum is σ = 1988704932. Its totient is φ = 309801600.

The previous prime is 800705189. The next prime is 800705249. The reversal of 800705200 is 2507008.

It is a super-2 number, since 2×800705200² = 1282257634614080000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 383359 + ... + 385441.

Almost surely, 2^800705200 is an apocalyptic number.

800705200 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 800705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994352466).

800705200 is an abundant number, since it is smaller than the sum of its proper divisors (1187999732).

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

800705200 is a wasteful number, since it uses less digits than its factorization.

800705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 800705200 is about 28296.7347939652. The cubic root of 800705200 is about 928.5904573164.

The spelling of 800705200 in words is "eight hundred million, seven hundred five thousand, two hundred".