816376608 has 72 divisors (see below), whose sum is σ = 2334546396. Its totient is φ = 270604800.

The previous prime is 816376597. The next prime is 816376663. The reversal of 816376608 is 806673618.

816376608 is a `hidden beast` number, since 8 + 1 + 6 + 37 + 6 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 816359184 + 17424 = 28572^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44298 + ... + 59958.

Almost surely, 2^816376608 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 816376608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167273198).

816376608 is an abundant number, since it is smaller than the sum of its proper divisors (1518169788).

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

816376608 is a wasteful number, since it uses less digits than its factorization.

816376608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15858 (or 15847 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 816376608 is about 28572.3049122748. The cubic root of 816376608 is about 934.6094847020.

The spelling of 816376608 in words is "eight hundred sixteen million, three hundred seventy-six thousand, six hundred eight".