817768016 has 30 divisors (see below), whose sum is σ = 1715685390. Its totient is φ = 377430144.

The previous prime is 817768009. The next prime is 817768019. The reversal of 817768016 is 610867718.

It can be written as a sum of positive squares in 3 ways, for example, as 5290000 + 812478016 = 2300^2 + 28504^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817768019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148511 + ... + 153918.

It is an arithmetic number, because the mean of its divisors is an integer number (57189513).

Almost surely, 2^817768016 is an apocalyptic number.

It is an amenable number.

817768016 is an abundant number, since it is smaller than the sum of its proper divisors (897917374).

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

817768016 is a wasteful number, since it uses less digits than its factorization.

817768016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302463 (or 302444 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 44.

The square root of 817768016 is about 28596.6434393969. The cubic root of 817768016 is about 935.1401568612.

The spelling of 817768016 in words is "eight hundred seventeen million, seven hundred sixty-eight thousand, sixteen".