855331200 has 288 divisors, whose sum is σ = 3233397960. Its totient is φ = 214548480.

The previous prime is 855331193. The next prime is 855331223. The reversal of 855331200 is 2133558.

855331200 is a `hidden beast` number, since 8 + 5 + 533 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 488727 + ... + 490473.

Almost surely, 2^855331200 is an apocalyptic number.

855331200 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 855331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616698980).

855331200 is an abundant number, since it is smaller than the sum of its proper divisors (2378066760).

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

855331200 is a wasteful number, since it uses less digits than its factorization.

855331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 855331200 is about 29246.0458865810. The cubic root of 855331200 is about 949.2445332782.

Adding to 855331200 its reverse (2133558), we get a palindrome (857464758).

The spelling of 855331200 in words is "eight hundred fifty-five million, three hundred thirty-one thousand, two hundred".