825271200 has 288 divisors, whose sum is σ = 3215419200. Its totient is φ = 203074560.

The previous prime is 825271193. The next prime is 825271201. The reversal of 825271200 is 2172528.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (825271201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 279331 + ... + 282269.

It is an arithmetic number, because the mean of its divisors is an integer number (11164650).

Almost surely, 2^825271200 is an apocalyptic number.

825271200 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 825271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607709600).

825271200 is an abundant number, since it is smaller than the sum of its proper divisors (2390148000).

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

825271200 is a wasteful number, since it uses less digits than its factorization.

825271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 825271200 is about 28727.5338308042. The cubic root of 825271200 is about 937.9914862923.

The spelling of 825271200 in words is "eight hundred twenty-five million, two hundred seventy-one thousand, two hundred".