827964100 has 18 divisors (see below), whose sum is σ = 1796682314. Its totient is φ = 331185600.

The previous prime is 827964077. The next prime is 827964101. The reversal of 827964100 is 1469728.

827964100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 24581764 + 803382336 = 4958^2 + 28344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 827964100.

It is not an unprimeable number, because it can be changed into a prime (827964101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4139721 + ... + 4139920.

Almost surely, 2^827964100 is an apocalyptic number.

It is an amenable number.

827964100 is an abundant number, since it is smaller than the sum of its proper divisors (968718214).

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

827964100 is a wasteful number, since it uses less digits than its factorization.

827964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8279655 (or 8279648 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 827964100 is about 28774.3653274925. The cubic root of 827964100 is about 939.0106158609.

The spelling of 827964100 in words is "eight hundred twenty-seven million, nine hundred sixty-four thousand, one hundred".