808728827808 has 192 divisors, whose sum is σ = 2341311920640. Its totient is φ = 242388249600.

The previous prime is 808728827791. The next prime is 808728827821.

It is a happy number.

808728827808 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 74456298 + ... + 74467158.

It is an arithmetic number, because the mean of its divisors is an integer number (12194332920).

Almost surely, 2^808728827808 is an apocalyptic number.

808728827808 is a gapful number since it is divisible by the number (88) 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 808728827808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170655960320).

808728827808 is an abundant number, since it is smaller than the sum of its proper divisors (1532583092832).

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

808728827808 is a wasteful number, since it uses less digits than its factorization.

808728827808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11651 (or 11643 counting only the distinct ones).

The product of its (nonzero) digits is 51380224, while the sum is 66.

The spelling of 808728827808 in words is "eight hundred eight billion, seven hundred twenty-eight million, eight hundred twenty-seven thousand, eight hundred eight".