817986796704 has 432 divisors, whose sum is σ = 2971557441216. Its totient is φ = 211051008000.

The previous prime is 817986796699. The next prime is 817986796709. The reversal of 817986796704 is 407697689718.

It is an interprime number because it is at equal distance from previous prime (817986796699) and next prime (817986796709).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (817986796709) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23422584 + ... + 23457480.

It is an arithmetic number, because the mean of its divisors is an integer number (6878605188).

Almost surely, 2^817986796704 is an apocalyptic number.

817986796704 is a gapful number since it is divisible by the number (84) 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 817986796704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485778720608).

817986796704 is an abundant number, since it is smaller than the sum of its proper divisors (2153570644512).

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

817986796704 is a wasteful number, since it uses less digits than its factorization.

817986796704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35089 (or 35071 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 817986796704 in words is "eight hundred seventeen billion, nine hundred eighty-six million, seven hundred ninety-six thousand, seven hundred four".