827205120 has 480 divisors, whose sum is σ = 3431780352. Its totient is φ = 180043776.

The previous prime is 827205107. The next prime is 827205131. The reversal of 827205120 is 21502728.

827205120 is a `hidden beast` number, since 82 + 72 + 0 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3709329 + ... + 3709551.

Almost surely, 2^827205120 is an apocalyptic number.

827205120 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 827205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715890176).

827205120 is an abundant number, since it is smaller than the sum of its proper divisors (2604575232).

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

827205120 is a wasteful number, since it uses less digits than its factorization.

827205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 827205120 is about 28761.1738286183. The cubic root of 827205120 is about 938.7236033530.

Adding to 827205120 its reverse (21502728), we get a palindrome (848707848).

The spelling of 827205120 in words is "eight hundred twenty-seven million, two hundred five thousand, one hundred twenty".