855705600 has 288 divisors, whose sum is σ = 3148236000. Its totient is φ = 227819520.

The previous prime is 855705583. The next prime is 855705661. The reversal of 855705600 is 6507558.

855705600 is a `hidden beast` number, since 85 + 570 + 5 + 6 + 0 + 0 = 666.

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1382091 + ... + 1382709.

It is an arithmetic number, because the mean of its divisors is an integer number (10931375).

Almost surely, 2^855705600 is an apocalyptic number.

855705600 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 855705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574118000).

855705600 is an abundant number, since it is smaller than the sum of its proper divisors (2292530400).

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

855705600 is a wasteful number, since it uses less digits than its factorization.

855705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 855705600 is about 29252.4460515698. The cubic root of 855705600 is about 949.3830158179.

The spelling of 855705600 in words is "eight hundred fifty-five million, seven hundred five thousand, six hundred".