825795000 has 200 divisors, whose sum is σ = 2891730600. Its totient is φ = 220104000.

The previous prime is 825794993. The next prime is 825795007. The reversal of 825795000 is 597528.

825795000 is a `hidden beast` number, since 82 + 5 + 79 + 500 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (825794993) and next prime (825795007).

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825795007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 403981 + ... + 406019.

It is an arithmetic number, because the mean of its divisors is an integer number (14458653).

Almost surely, 2^825795000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825795000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445865300).

825795000 is an abundant number, since it is smaller than the sum of its proper divisors (2065935600).

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

825795000 is a wasteful number, since it uses less digits than its factorization.

825795000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 825795000 is about 28736.6490739613. The cubic root of 825795000 is about 938.1898921941.

The spelling of 825795000 in words is "eight hundred twenty-five million, seven hundred ninety-five thousand".