809082026784 has 192 divisors, whose sum is σ = 2448720046080. Its totient is φ = 259711038720.

The previous prime is 809082026761. The next prime is 809082026791. The reversal of 809082026784 is 487620280908.

It is a super-2 number, since 2×809082026784² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 809082026784.

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 31 ways as a sum of consecutive naturals, for example, 2484429 + ... + 2791155.

It is an arithmetic number, because the mean of its divisors is an integer number (12753750240).

Almost surely, 2^809082026784 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 809082026784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224360023040).

809082026784 is an abundant number, since it is smaller than the sum of its proper divisors (1639638019296).

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

809082026784 is a wasteful number, since it uses less digits than its factorization.

809082026784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306860 (or 306846 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 809082026784 in words is "eight hundred nine billion, eighty-two million, twenty-six thousand, seven hundred eighty-four".