855306720 has 144 divisors (see below), whose sum is σ = 3090512880. Its totient is φ = 214659072.

The previous prime is 855306701. The next prime is 855306731. The reversal of 855306720 is 27603558.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7011 + ... + 41949.

It is an arithmetic number, because the mean of its divisors is an integer number (21461895).

Almost surely, 2^855306720 is an apocalyptic number.

855306720 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 855306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545256440).

855306720 is an abundant number, since it is smaller than the sum of its proper divisors (2235206160).

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

855306720 is a wasteful number, since it uses less digits than its factorization.

855306720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34977 (or 34966 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 855306720 is about 29245.6273654712. The cubic root of 855306720 is about 949.2354772432.

The spelling of 855306720 in words is "eight hundred fifty-five million, three hundred six thousand, seven hundred twenty".