827467200 has 252 divisors, whose sum is σ = 3361568080. Its totient is φ = 189112320.

The previous prime is 827467187. The next prime is 827467211. The reversal of 827467200 is 2764728.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96696 + ... + 104904.

Almost surely, 2^827467200 is an apocalyptic number.

827467200 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 827467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680784040).

827467200 is an abundant number, since it is smaller than the sum of its proper divisors (2534100880).

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

827467200 is a wasteful number, since it uses less digits than its factorization.

827467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 827467200 is about 28765.7296100759. The cubic root of 827467200 is about 938.8227301994.

The spelling of 827467200 in words is "eight hundred twenty-seven million, four hundred sixty-seven thousand, two hundred".