80507712 has 112 divisors (see below), whose sum is σ = 232257600. Its totient is φ = 24514560.

The previous prime is 80507701. The next prime is 80507729. The reversal of 80507712 is 21770508.

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 80507712.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 105412 + ... + 106172.

Almost surely, 2^80507712 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 80507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116128800).

80507712 is an abundant number, since it is smaller than the sum of its proper divisors (151749888).

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

80507712 is a wasteful number, since it uses less digits than its factorization.

80507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 80507712 is about 8972.6089851280. The cubic root of 80507712 is about 431.7965434261.

The spelling of 80507712 in words is "eighty million, five hundred seven thousand, seven hundred twelve".