80217280 has 112 divisors (see below), whose sum is σ = 224540064. Its totient is φ = 26910720.

The previous prime is 80217251. The next prime is 80217283. The reversal of 80217280 is 8271208.

It is not an unprimeable number, because it can be changed into a prime (80217283) 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 15 ways as a sum of consecutive naturals, for example, 44884 + ... + 46636.

It is an arithmetic number, because the mean of its divisors is an integer number (2004822).

Almost surely, 2^80217280 is an apocalyptic number.

80217280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112270032).

80217280 is an abundant number, since it is smaller than the sum of its proper divisors (144322784).

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

80217280 is a wasteful number, since it uses less digits than its factorization.

80217280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 80217280 is about 8956.4099950817. The cubic root of 80217280 is about 431.2766816790.

Adding to 80217280 its reverse (8271208), we get a palindrome (88488488).

The spelling of 80217280 in words is "eighty million, two hundred seventeen thousand, two hundred eighty".