825860000 has 240 divisors, whose sum is σ = 2465660736. Its totient is φ = 265728000.

The previous prime is 825859987. The next prime is 825860003. The reversal of 825860000 is 68528.

It is a happy number.

825860000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (825860003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2379827 + ... + 2380173.

Almost surely, 2^825860000 is an apocalyptic number.

825860000 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 825860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232830368).

825860000 is an abundant number, since it is smaller than the sum of its proper divisors (1639800736).

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

825860000 is a wasteful number, since it uses less digits than its factorization.

825860000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 825860000 is about 28737.7800116850. The cubic root of 825860000 is about 938.2145071583.

The spelling of 825860000 in words is "eight hundred twenty-five million, eight hundred sixty thousand".