825299200 has 216 divisors, whose sum is σ = 2349537120. Its totient is φ = 283852800.

The previous prime is 825299177. The next prime is 825299201. The reversal of 825299200 is 2992528.

It is a happy number.

825299200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×825299200² = 1362237539041280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 825299200.

It is not an unprimeable number, because it can be changed into a prime (825299201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337292 + ... + 1337908.

Almost surely, 2^825299200 is an apocalyptic number.

825299200 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 825299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174768560).

825299200 is an abundant number, since it is smaller than the sum of its proper divisors (1524237920).

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

825299200 is a wasteful number, since it uses less digits than its factorization.

825299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 825299200 is about 28728.0211640134. The cubic root of 825299200 is about 938.0020943060.

The spelling of 825299200 in words is "eight hundred twenty-five million, two hundred ninety-nine thousand, two hundred".