806072607200 has 144 divisors (see below), whose sum is σ = 2249874061344. Its totient is φ = 276253286400.

The previous prime is 806072607199. The next prime is 806072607209. The reversal of 806072607200 is 2706270608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806072607209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14089052 + ... + 14146148.

It is an arithmetic number, because the mean of its divisors is an integer number (15624125426).

Almost surely, 2^806072607200 is an apocalyptic number.

806072607200 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 806072607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124937030672).

806072607200 is an abundant number, since it is smaller than the sum of its proper divisors (1443801454144).

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

806072607200 is a wasteful number, since it uses less digits than its factorization.

806072607200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59645 (or 59632 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

Adding to 806072607200 its reverse (2706270608), we get a palindrome (808778877808).

The spelling of 806072607200 in words is "eight hundred six billion, seventy-two million, six hundred seven thousand, two hundred".