855360000 has 600 divisors, whose sum is σ = 3489870384. Its totient is φ = 207360000.

The previous prime is 855359987. The next prime is 855360001. The reversal of 855360000 is 63558.

855360000 is a `hidden beast` number, since 8 + 5 + 53 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (855360001) 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 59 ways as a sum of consecutive naturals, for example, 77759995 + ... + 77760005.

Almost surely, 2^855360000 is an apocalyptic number.

855360000 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 855360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744935192).

855360000 is an abundant number, since it is smaller than the sum of its proper divisors (2634510384).

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

855360000 is an frugal number, since it uses more digits than its factorization.

855360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 21 counting only the distinct ones).

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

The square root of 855360000 is about 29246.5382566895. The cubic root of 855360000 is about 949.2551872158.

The spelling of 855360000 in words is "eight hundred fifty-five million, three hundred sixty thousand".