827464800 has 216 divisors, whose sum is σ = 2863551096. Its totient is φ = 207503360.

The previous prime is 827464787. The next prime is 827464811. The reversal of 827464800 is 8464728.

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, 693004 + ... + 694196.

It is an arithmetic number, because the mean of its divisors is an integer number (13257181).

Almost surely, 2^827464800 is an apocalyptic number.

827464800 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 827464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431775548).

827464800 is an abundant number, since it is smaller than the sum of its proper divisors (2036086296).

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

827464800 is a wasteful number, since it uses less digits than its factorization.

827464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 827464800 is about 28765.6878937390. The cubic root of 827464800 is about 938.8218225394.

The spelling of 827464800 in words is "eight hundred twenty-seven million, four hundred sixty-four thousand, eight hundred".