817530816 has 168 divisors, whose sum is σ = 2363266800. Its totient is φ = 248545280.

The previous prime is 817530811. The next prime is 817530839. The reversal of 817530816 is 618035718.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817530811) 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 23 ways as a sum of consecutive naturals, for example, 5486710 + ... + 5486858.

Almost surely, 2^817530816 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 817530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181633400).

817530816 is an abundant number, since it is smaller than the sum of its proper divisors (1545735984).

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

817530816 is a wasteful number, since it uses less digits than its factorization.

817530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 817530816 is about 28592.4957987231. The cubic root of 817530816 is about 935.0497332159.

The spelling of 817530816 in words is "eight hundred seventeen million, five hundred thirty thousand, eight hundred sixteen".