817792320 has 112 divisors (see below), whose sum is σ = 2612550528. Its totient is φ = 216729600.

The previous prime is 817792309. The next prime is 817792379. The reversal of 817792320 is 23297718.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157770 + ... + 162870.

It is an arithmetic number, because the mean of its divisors is an integer number (23326344).

Almost surely, 2^817792320 is an apocalyptic number.

817792320 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 817792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306275264).

817792320 is an abundant number, since it is smaller than the sum of its proper divisors (1794758208).

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

817792320 is a wasteful number, since it uses less digits than its factorization.

817792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 817792320 is about 28597.0683812170. The cubic root of 817792320 is about 935.1494208663.

The spelling of 817792320 in words is "eight hundred seventeen million, seven hundred ninety-two thousand, three hundred twenty".