80407296 has 72 divisors (see below), whose sum is σ = 237798960. Its totient is φ = 26800128.

The previous prime is 80407289. The next prime is 80407309. The reversal of 80407296 is 69270408.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80407296.

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, 1096 + ... + 12728.

Almost surely, 2^80407296 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 80407296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118899480).

80407296 is an abundant number, since it is smaller than the sum of its proper divisors (157391664).

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

80407296 is a wasteful number, since it uses less digits than its factorization.

80407296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11658 (or 11638 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 80407296 is about 8967.0115423144. The cubic root of 80407296 is about 431.6169443945.

The spelling of 80407296 in words is "eighty million, four hundred seven thousand, two hundred ninety-six".