850577920 has 80 divisors (see below), whose sum is σ = 2078204040. Its totient is φ = 333758464.

The previous prime is 850577909. The next prime is 850577933. The reversal of 850577920 is 29775058.

It can be written as a sum of positive squares in 4 ways, for example, as 694427904 + 156150016 = 26352^2 + 12496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132546 + ... + 138814.

Almost surely, 2^850577920 is an apocalyptic number.

850577920 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 850577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039102020).

850577920 is an abundant number, since it is smaller than the sum of its proper divisors (1227626120).

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

850577920 is an equidigital number, since it uses as much as digits as its factorization.

850577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6345 (or 6329 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 43.

The square root of 850577920 is about 29164.6690363529. The cubic root of 850577920 is about 947.4828729648.

The spelling of 850577920 in words is "eight hundred fifty million, five hundred seventy-seven thousand, nine hundred twenty".