827011200 has 192 divisors, whose sum is σ = 2742592320. Its totient is φ = 219033600.

The previous prime is 827011193. The next prime is 827011247. The reversal of 827011200 is 2110728.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2659045 + ... + 2659355.

It is an arithmetic number, because the mean of its divisors is an integer number (14284335).

Almost surely, 2^827011200 is an apocalyptic number.

827011200 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 827011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371296160).

827011200 is an abundant number, since it is smaller than the sum of its proper divisors (1915581120).

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

827011200 is a wasteful number, since it uses less digits than its factorization.

827011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 827011200 is about 28757.8024195174. The cubic root of 827011200 is about 938.6502432704.

Adding to 827011200 its reverse (2110728), we get a palindrome (829121928).

The spelling of 827011200 in words is "eight hundred twenty-seven million, eleven thousand, two hundred".