816716320 has 72 divisors (see below), whose sum is σ = 2244533004. Its totient is φ = 280014336.

The previous prime is 816716317. The next prime is 816716377. The reversal of 816716320 is 23617618.

It can be written as a sum of positive squares in 2 ways, for example, as 788711056 + 28005264 = 28084^2 + 5292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44247 + ... + 59926.

Almost surely, 2^816716320 is an apocalyptic number.

816716320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816716320 is an abundant number, since it is smaller than the sum of its proper divisors (1427816684).

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

816716320 is a wasteful number, since it uses less digits than its factorization.

816716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104202 (or 104187 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 816716320 is about 28578.2490716279. The cubic root of 816716320 is about 934.7391038121.

The spelling of 816716320 in words is "eight hundred sixteen million, seven hundred sixteen thousand, three hundred twenty".