855882720 has 768 divisors, whose sum is σ = 3901685760. Its totient is φ = 170035200.

The previous prime is 855882719. The next prime is 855882827. The reversal of 855882720 is 27288558.

855882720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10311799 + ... + 10311881.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^855882720 is an apocalyptic number.

855882720 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 855882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950842880).

855882720 is an abundant number, since it is smaller than the sum of its proper divisors (3045803040).

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

855882720 is a wasteful number, since it uses less digits than its factorization.

855882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The square root of 855882720 is about 29255.4733340618. The cubic root of 855882720 is about 949.4485146371.

The spelling of 855882720 in words is "eight hundred fifty-five million, eight hundred eighty-two thousand, seven hundred twenty".