806830800 has 360 divisors, whose sum is σ = 2856983808. Its totient is φ = 194304000.

The previous prime is 806830793. The next prime is 806830807. The reversal of 806830800 is 8038608.

It is an interprime number because it is at equal distance from previous prime (806830793) and next prime (806830807).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806830807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19678780 + ... + 19678820.

Almost surely, 2^806830800 is an apocalyptic number.

806830800 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 806830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428491904).

806830800 is an abundant number, since it is smaller than the sum of its proper divisors (2050153008).

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

806830800 is a wasteful number, since it uses less digits than its factorization.

806830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 806830800 is about 28404.7672055238. The cubic root of 806830800 is about 930.9524292854.

The spelling of 806830800 in words is "eight hundred six million, eight hundred thirty thousand, eight hundred".