823992000 has 448 divisors, whose sum is σ = 3106521600. Its totient is φ = 190771200.

The previous prime is 823991963. The next prime is 823992017. The reversal of 823992000 is 299328.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5927931 + ... + 5928069.

It is an arithmetic number, because the mean of its divisors is an integer number (6934200).

Almost surely, 2^823992000 is an apocalyptic number.

823992000 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 823992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553260800).

823992000 is an abundant number, since it is smaller than the sum of its proper divisors (2282529600).

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

823992000 is a wasteful number, since it uses less digits than its factorization.

823992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 823992000 is about 28705.2608418736. The cubic root of 823992000 is about 937.5065955092.

The spelling of 823992000 in words is "eight hundred twenty-three million, nine hundred ninety-two thousand".