827606000 has 160 divisors (see below), whose sum is σ = 2180068800. Its totient is φ = 302054400.

The previous prime is 827605991. The next prime is 827606027. The reversal of 827606000 is 606728.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3613886 + ... + 3614114.

It is an arithmetic number, because the mean of its divisors is an integer number (13625430).

Almost surely, 2^827606000 is an apocalyptic number.

827606000 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 827606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090034400).

827606000 is an abundant number, since it is smaller than the sum of its proper divisors (1352462800).

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

827606000 is a wasteful number, since it uses less digits than its factorization.

827606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 827606000 is about 28768.1421019850. The cubic root of 827606000 is about 938.8752202194.

The spelling of 827606000 in words is "eight hundred twenty-seven million, six hundred six thousand".