80409288 has 128 divisors (see below), whose sum is σ = 224133120. Its totient is φ = 23950080.

The previous prime is 80409283. The next prime is 80409289. The reversal of 80409288 is 88290408.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80409283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633081 + ... + 633207.

It is an arithmetic number, because the mean of its divisors is an integer number (1751040).

Almost surely, 2^80409288 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 80409288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112066560).

80409288 is an abundant number, since it is smaller than the sum of its proper divisors (143723832).

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

80409288 is a wasteful number, since it uses less digits than its factorization.

80409288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 80409288 is about 8967.1226154213. The cubic root of 80409288 is about 431.6205086393.

The spelling of 80409288 in words is "eighty million, four hundred nine thousand, two hundred eighty-eight".