809765085168 has 720 divisors, whose sum is σ = 2753613757440. Its totient is φ = 220304646144.

The previous prime is 809765085161. The next prime is 809765085179. The reversal of 809765085168 is 861580567908.

809765085168 is a `hidden beast` number, since 8 + 0 + 9 + 76 + 508 + 51 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809765085161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 734147305 + ... + 734148407.

It is an arithmetic number, because the mean of its divisors is an integer number (3824463552).

Almost surely, 2^809765085168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809765085168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376806878720).

809765085168 is an abundant number, since it is smaller than the sum of its proper divisors (1943848672272).

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

809765085168 is a wasteful number, since it uses less digits than its factorization.

809765085168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

It can be divided in two parts, 8097650 and 85168, that added together give a palindrome (8182818).

The spelling of 809765085168 in words is "eight hundred nine billion, seven hundred sixty-five million, eighty-five thousand, one hundred sixty-eight".