856530000 has 300 divisors, whose sum is σ = 3102107008. Its totient is φ = 220320000.

The previous prime is 856529981. The next prime is 856530001. The reversal of 856530000 is 35658.

856530000 is a `hidden beast` number, since 8 + 5 + 653 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856530001) 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 59 ways as a sum of consecutive naturals, for example, 2789847 + ... + 2790153.

Almost surely, 2^856530000 is an apocalyptic number.

856530000 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 856530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551053504).

856530000 is an abundant number, since it is smaller than the sum of its proper divisors (2245577008).

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

856530000 is a wasteful number, since it uses less digits than its factorization.

856530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 856530000 is about 29266.5337886125. The cubic root of 856530000 is about 949.6878013838.

Adding to 856530000 its reverse (35658), we get a palindrome (856565658).

The spelling of 856530000 in words is "eight hundred fifty-six million, five hundred thirty thousand".