80259312 has 80 divisors (see below), whose sum is σ = 250912512. Its totient is φ = 21580800.

The previous prime is 80259271. The next prime is 80259313. The reversal of 80259312 is 21395208.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 80259312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80259313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 12737.

Almost surely, 2^80259312 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 80259312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125456256).

80259312 is an abundant number, since it is smaller than the sum of its proper divisors (170653200).

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

80259312 is a wasteful number, since it uses less digits than its factorization.

80259312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14086 (or 14080 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 80259312 is about 8958.7561636647. The cubic root of 80259312 is about 431.3519948629.

The spelling of 80259312 in words is "eighty million, two hundred fifty-nine thousand, three hundred twelve".