80085312 has 84 divisors (see below), whose sum is σ = 230869236. Its totient is φ = 26542080.

The previous prime is 80085293. The next prime is 80085319. The reversal of 80085312 is 21358008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61214976 + 18870336 = 7824^2 + 4344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80085319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147762 + ... + 148302.

Almost surely, 2^80085312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115434618).

80085312 is an abundant number, since it is smaller than the sum of its proper divisors (150783924).

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

80085312 is a wasteful number, since it uses less digits than its factorization.

80085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 80085312 is about 8949.0397250208. The cubic root of 80085312 is about 431.0400495368.

The spelling of 80085312 in words is "eighty million, eighty-five thousand, three hundred twelve".