816887285760 has 768 divisors, whose sum is σ = 3405897331200. Its totient is φ = 162206318592.

The previous prime is 816887285737. The next prime is 816887285761. The reversal of 816887285760 is 67582788618.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 816887285691 and 816887285700.

It is not an unprimeable number, because it can be changed into a prime (816887285761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47515246 + ... + 47532434.

It is an arithmetic number, because the mean of its divisors is an integer number (4434762150).

Almost surely, 2^816887285760 is an apocalyptic number.

816887285760 is a gapful number since it is divisible by the number (80) 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 816887285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702948665600).

816887285760 is an abundant number, since it is smaller than the sum of its proper divisors (2589010045440).

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

816887285760 is a wasteful number, since it uses less digits than its factorization.

816887285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17256 (or 17236 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 816887285760 in words is "eight hundred sixteen billion, eight hundred eighty-seven million, two hundred eighty-five thousand, seven hundred sixty".