855859200 has 336 divisors, whose sum is σ = 3250387200. Its totient is φ = 194641920.

The previous prime is 855859189. The next prime is 855859201. The reversal of 855859200 is 2958558.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855859201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300701 + ... + 4300899.

Almost surely, 2^855859200 is an apocalyptic number.

855859200 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 855859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625193600).

855859200 is an abundant number, since it is smaller than the sum of its proper divisors (2394528000).

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

855859200 is a wasteful number, since it uses less digits than its factorization.

855859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 855859200 is about 29255.0713552369. The cubic root of 855859200 is about 949.4398174822.

The spelling of 855859200 in words is "eight hundred fifty-five million, eight hundred fifty-nine thousand, two hundred".