806311200 has 144 divisors (see below), whose sum is σ = 2644518240. Its totient is φ = 213381120.

The previous prime is 806311183. The next prime is 806311201. The reversal of 806311200 is 2113608.

It is not an unprimeable number, because it can be changed into a prime (806311201) 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 23 ways as a sum of consecutive naturals, for example, 332392 + ... + 334808.

It is an arithmetic number, because the mean of its divisors is an integer number (18364710).

Almost surely, 2^806311200 is an apocalyptic number.

806311200 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 806311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322259120).

806311200 is an abundant number, since it is smaller than the sum of its proper divisors (1838207040).

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

806311200 is a wasteful number, since it uses less digits than its factorization.

806311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 806311200 is about 28395.6193804608. The cubic root of 806311200 is about 930.7525415441.

Adding to 806311200 its reverse (2113608), we get a palindrome (808424808).

The spelling of 806311200 in words is "eight hundred six million, three hundred eleven thousand, two hundred".