825238800 has 240 divisors, whose sum is σ = 3007238080. Its totient is φ = 214824960.

The previous prime is 825238789. The next prime is 825238801. The reversal of 825238800 is 8832528.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (825238801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463512 + ... + 465288.

Almost surely, 2^825238800 is an apocalyptic number.

825238800 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 825238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503619040).

825238800 is an abundant number, since it is smaller than the sum of its proper divisors (2181999280).

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

825238800 is a wasteful number, since it uses less digits than its factorization.

825238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 825238800 is about 28726.9699063441. The cubic root of 825238800 is about 937.9792110055.

The spelling of 825238800 in words is "eight hundred twenty-five million, two hundred thirty-eight thousand, eight hundred".