816928320 has 224 divisors, whose sum is σ = 2837858688. Its totient is φ = 197885952.

The previous prime is 816928309. The next prime is 816928331. The reversal of 816928320 is 23829618.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (816928309) and next prime (816928331).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 835672 + ... + 836648.

It is an arithmetic number, because the mean of its divisors is an integer number (12669012).

Almost surely, 2^816928320 is an apocalyptic number.

816928320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 816928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418929344).

816928320 is an abundant number, since it is smaller than the sum of its proper divisors (2020930368).

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

816928320 is a wasteful number, since it uses less digits than its factorization.

816928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 816928320 is about 28581.9579455292. The cubic root of 816928320 is about 934.8199754446.

The spelling of 816928320 in words is "eight hundred sixteen million, nine hundred twenty-eight thousand, three hundred twenty".