850821120 has 192 divisors, whose sum is σ = 2954579940. Its totient is φ = 226492416.

The previous prime is 850821113. The next prime is 850821143. The reversal of 850821120 is 21128058.

It can be written as a sum of positive squares in 2 ways, for example, as 785793024 + 65028096 = 28032^2 + 8064^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1474272 + ... + 1474848.

Almost surely, 2^850821120 is an apocalyptic number.

850821120 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 850821120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477289970).

850821120 is an abundant number, since it is smaller than the sum of its proper divisors (2103758820).

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

850821120 is an equidigital number, since it uses as much as digits as its factorization.

850821120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 850821120 is about 29168.8381667834. The cubic root of 850821120 is about 947.5731668192.

Adding to 850821120 its reverse (21128058), we get a palindrome (871949178).

The spelling of 850821120 in words is "eight hundred fifty million, eight hundred twenty-one thousand, one hundred twenty".