827368800 has 144 divisors (see below), whose sum is σ = 2739199680. Its totient is φ = 216855040.

The previous prime is 827368799. The next prime is 827368823. The reversal of 827368800 is 8863728.

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 23 ways as a sum of consecutive naturals, for example, 138679 + ... + 144521.

It is an arithmetic number, because the mean of its divisors is an integer number (19022220).

Almost surely, 2^827368800 is an apocalyptic number.

827368800 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 827368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369599840).

827368800 is an abundant number, since it is smaller than the sum of its proper divisors (1911830880).

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

827368800 is a wasteful number, since it uses less digits than its factorization.

827368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5912 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 827368800 is about 28764.0191906486. The cubic root of 827368800 is about 938.7855146986.

The spelling of 827368800 in words is "eight hundred twenty-seven million, three hundred sixty-eight thousand, eight hundred".