827814400 has 120 divisors (see below), whose sum is σ = 2344224960. Its totient is φ = 283791360.

The previous prime is 827814397. The next prime is 827814409. The reversal of 827814400 is 4418728.

It is not an unprimeable number, because it can be changed into a prime (827814409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84981 + ... + 94219.

It is an arithmetic number, because the mean of its divisors is an integer number (19535208).

Almost surely, 2^827814400 is an apocalyptic number.

827814400 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 827814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172112480).

827814400 is an abundant number, since it is smaller than the sum of its proper divisors (1516410560).

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

827814400 is an equidigital number, since it uses as much as digits as its factorization.

827814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9253 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 827814400 is about 28771.7639361927. The cubic root of 827814400 is about 938.9540198636.

The spelling of 827814400 in words is "eight hundred twenty-seven million, eight hundred fourteen thousand, four hundred".