823200000 has 432 divisors, whose sum is σ = 3193545600. Its totient is φ = 188160000.

The previous prime is 823199977. The next prime is 823200019. The reversal of 823200000 is 2328.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117599997 + ... + 117600003.

Almost surely, 2^823200000 is an apocalyptic number.

823200000 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 823200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596772800).

823200000 is an abundant number, since it is smaller than the sum of its proper divisors (2370345600).

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

823200000 is an frugal number, since it uses more digits than its factorization.

823200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 823200000 is about 28691.4621446869. The cubic root of 823200000 is about 937.2061301150.

Adding to 823200000 its reverse (2328), we get a palindrome (823202328).

The spelling of 823200000 in words is "eight hundred twenty-three million, two hundred thousand".