806845702320 has 640 divisors, whose sum is σ = 3451207680000. Its totient is φ = 169077611520.

The previous prime is 806845702259. The next prime is 806845702331. The reversal of 806845702320 is 23207548608.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8860381 + ... + 8950979.

It is an arithmetic number, because the mean of its divisors is an integer number (5392512000).

Almost surely, 2^806845702320 is an apocalyptic number.

806845702320 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 806845702320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725603840000).

806845702320 is an abundant number, since it is smaller than the sum of its proper divisors (2644361977680).

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

806845702320 is a wasteful number, since it uses less digits than its factorization.

806845702320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90678 (or 90666 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 806845702320 in words is "eight hundred six billion, eight hundred forty-five million, seven hundred two thousand, three hundred twenty".