823425600 has 168 divisors, whose sum is σ = 2860718688. Its totient is φ = 206643200.

The previous prime is 823425557. The next prime is 823425613. The reversal of 823425600 is 6524328.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76555 + ... + 86645.

Almost surely, 2^823425600 is an apocalyptic number.

823425600 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 823425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430359344).

823425600 is an abundant number, since it is smaller than the sum of its proper divisors (2037293088).

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

823425600 is a wasteful number, since it uses less digits than its factorization.

823425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10133 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 823425600 is about 28695.3933585166. The cubic root of 823425600 is about 937.2917368494.

Adding to 823425600 its reverse (6524328), we get a palindrome (829949928).

The spelling of 823425600 in words is "eight hundred twenty-three million, four hundred twenty-five thousand, six hundred".