817920000 has 360 divisors, whose sum is σ = 2993510520. Its totient is φ = 215040000.

The previous prime is 817919981. The next prime is 817920001. The reversal of 817920000 is 29718.

It is a tau number, because it is divible by the number of its divisors (360).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817920001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519965 + ... + 11520035.

It is an arithmetic number, because the mean of its divisors is an integer number (8315307).

Almost surely, 2^817920000 is an apocalyptic number.

817920000 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 817920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496755260).

817920000 is an abundant number, since it is smaller than the sum of its proper divisors (2175590520).

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

817920000 is an equidigital number, since it uses as much as digits as its factorization.

817920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 817920000 is about 28599.3006907512. The cubic root of 817920000 is about 935.1980858969.

Adding to 817920000 its reverse (29718), we get a palindrome (817949718).

The spelling of 817920000 in words is "eight hundred seventeen million, nine hundred twenty thousand".