823256800 has 72 divisors (see below), whose sum is σ = 2021355000. Its totient is φ = 327406080.

The previous prime is 823256783. The next prime is 823256809. The reversal of 823256800 is 8652328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823256809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140326 + ... + 146074.

It is an arithmetic number, because the mean of its divisors is an integer number (28074375).

Almost surely, 2^823256800 is an apocalyptic number.

823256800 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 823256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010677500).

823256800 is an abundant number, since it is smaller than the sum of its proper divisors (1198098200).

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

823256800 is a wasteful number, since it uses less digits than its factorization.

823256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 823256800 is about 28692.4519691155. The cubic root of 823256800 is about 937.2276850567.

The spelling of 823256800 in words is "eight hundred twenty-three million, two hundred fifty-six thousand, eight hundred".