816727806 has 64 divisors (see below), whose sum is σ = 1915200000. Its totient is φ = 257276736.

The previous prime is 816727801. The next prime is 816727811. The reversal of 816727806 is 608727618.

It is an interprime number because it is at equal distance from previous prime (816727801) and next prime (816727811).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816727801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583095 + ... + 584493.

It is an arithmetic number, because the mean of its divisors is an integer number (29925000).

Almost surely, 2^816727806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816727806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957600000).

816727806 is an abundant number, since it is smaller than the sum of its proper divisors (1098472194).

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

816727806 is a wasteful number, since it uses less digits than its factorization.

816727806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 816727806 is about 28578.4500279494. The cubic root of 816727806 is about 934.7434857346.

The spelling of 816727806 in words is "eight hundred sixteen million, seven hundred twenty-seven thousand, eight hundred six".