855388800 has 288 divisors, whose sum is σ = 3489077280. Its totient is φ = 195471360.

The previous prime is 855388789. The next prime is 855388801. The reversal of 855388800 is 8883558.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (855388801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199479 + ... + 203721.

Almost surely, 2^855388800 is an apocalyptic number.

855388800 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 855388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744538640).

855388800 is an abundant number, since it is smaller than the sum of its proper divisors (2633688480).

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

855388800 is a wasteful number, since it uses less digits than its factorization.

855388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 855388800 is about 29247.0306185089. The cubic root of 855388800 is about 949.2658409143.

The spelling of 855388800 in words is "eight hundred fifty-five million, three hundred eighty-eight thousand, eight hundred".