816008816 has 40 divisors (see below), whose sum is σ = 1816904544. Its totient is φ = 347777280.

The previous prime is 816008803. The next prime is 816008839. The reversal of 816008816 is 618800618.

It is a self number, because there is not a number n which added to its sum of digits gives 816008816.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 146 + ... + 40398.

Almost surely, 2^816008816 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 816008816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908452272).

816008816 is an abundant number, since it is smaller than the sum of its proper divisors (1000895728).

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

816008816 is a wasteful number, since it uses less digits than its factorization.

816008816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40449 (or 40443 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 816008816 is about 28565.8680246199. The cubic root of 816008816 is about 934.4691109571.

The spelling of 816008816 in words is "eight hundred sixteen million, eight thousand, eight hundred sixteen".