855126720 has 336 divisors, whose sum is σ = 3488179968. Its totient is φ = 195333120.

The previous prime is 855126619. The next prime is 855126739. The reversal of 855126720 is 27621558.

It is a happy number.

855126720 is a `hidden beast` number, since 85 + 512 + 67 + 2 + 0 = 666.

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 (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 543535 + ... + 545105.

It is an arithmetic number, because the mean of its divisors is an integer number (10381488).

Almost surely, 2^855126720 is an apocalyptic number.

855126720 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 855126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744089984).

855126720 is an abundant number, since it is smaller than the sum of its proper divisors (2633053248).

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

855126720 is a wasteful number, since it uses less digits than its factorization.

855126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 855126720 is about 29242.5498204243. The cubic root of 855126720 is about 949.1688834434.

The spelling of 855126720 in words is "eight hundred fifty-five million, one hundred twenty-six thousand, seven hundred twenty".