850218720 has 288 divisors, whose sum is σ = 2975035392. Its totient is φ = 203913216.

The previous prime is 850218703. The next prime is 850218749. The reversal of 850218720 is 27812058.

850218720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3812529 + ... + 3812751.

It is an arithmetic number, because the mean of its divisors is an integer number (10329984).

Almost surely, 2^850218720 is an apocalyptic number.

850218720 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 850218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487517696).

850218720 is an abundant number, since it is smaller than the sum of its proper divisors (2124816672).

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

850218720 is a wasteful number, since it uses less digits than its factorization.

850218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 850218720 is about 29158.5102500111. The cubic root of 850218720 is about 947.3494798292.

The spelling of 850218720 in words is "eight hundred fifty million, two hundred eighteen thousand, seven hundred twenty".