850832080 has 160 divisors (see below), whose sum is σ = 2337350400. Its totient is φ = 287884800.

The previous prime is 850832071. The next prime is 850832119. The reversal of 850832080 is 80238058.

It is a happy number.

850832080 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 31 ways as a sum of consecutive naturals, for example, 2771287 + ... + 2771593.

It is an arithmetic number, because the mean of its divisors is an integer number (14608440).

Almost surely, 2^850832080 is an apocalyptic number.

850832080 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 850832080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168675200).

850832080 is an abundant number, since it is smaller than the sum of its proper divisors (1486518320).

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

850832080 is a wasteful number, since it uses less digits than its factorization.

850832080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 850832080 is about 29169.0260379053. The cubic root of 850832080 is about 947.5772355778.

The spelling of 850832080 in words is "eight hundred fifty million, eight hundred thirty-two thousand, eighty".