827316300 has 144 divisors (see below), whose sum is σ = 2494513952. Its totient is φ = 211507200.

The previous prime is 827316299. The next prime is 827316307. The reversal of 827316300 is 3613728.

827316300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (827316307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 809790 + ... + 810810.

Almost surely, 2^827316300 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 827316300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247256976).

827316300 is an abundant number, since it is smaller than the sum of its proper divisors (1667197652).

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

827316300 is a wasteful number, since it uses less digits than its factorization.

827316300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 827316300 is about 28763.1065776978. The cubic root of 827316300 is about 938.7656576603.

The spelling of 827316300 in words is "eight hundred twenty-seven million, three hundred sixteen thousand, three hundred".