816008817 has 8 divisors (see below), whose sum is σ = 1171705024. Its totient is φ = 502159248.

The previous prime is 816008803. The next prime is 816008839. The reversal of 816008817 is 718800618.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 816008817 - 2²⁰ = 814960241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 20923303 = 816008817 / (8 + 1 + 6 + 0 + 0 + 8 + 8 + 1 + 7).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (816008317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10461613 + ... + 10461690.

It is an arithmetic number, because the mean of its divisors is an integer number (146463128).

Almost surely, 2^816008817 is an apocalyptic number.

It is an amenable number.

816008817 is a deficient number, since it is larger than the sum of its proper divisors (355696207).

816008817 is a wasteful number, since it uses less digits than its factorization.

816008817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20923319.

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 816008817 is about 28565.8680421233. The cubic root of 816008817 is about 934.4691113389.

The spelling of 816008817 in words is "eight hundred sixteen million, eight thousand, eight hundred seventeen".