816730008 has 64 divisors (see below), whose sum is σ = 2111243520. Its totient is φ = 263088000.

The previous prime is 816729983. The next prime is 816730039. The reversal of 816730008 is 800037618.

816730008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131043 + ... + 137133.

It is an arithmetic number, because the mean of its divisors is an integer number (32988180).

Almost surely, 2^816730008 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 816730008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055621760).

816730008 is an abundant number, since it is smaller than the sum of its proper divisors (1294513512).

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

816730008 is a wasteful number, since it uses less digits than its factorization.

816730008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 816730008 is about 28578.4885534557. The cubic root of 816730008 is about 934.7443257955.

The spelling of 816730008 in words is "eight hundred sixteen million, seven hundred thirty thousand, eight".