80304224400 has 135 divisors (see below), whose sum is σ = 278736982329. Its totient is φ = 21409925760.

The previous prime is 80304224353. The next prime is 80304224417. The reversal of 80304224400 is 442240308.

It is a happy number.

The square root of 80304224400 is 283380.

It is a perfect power (a square), and thus also a powerful number.

80304224400 is a `hidden beast` number, since 8 + 0 + 30 + 4 + 224 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28909520784 + 51394703616 = 170028^2 + 226704^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 17000439 + ... + 17005161.

Almost surely, 2^80304224400 is an apocalyptic number.

80304224400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

80304224400 is the 283380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80304224400

80304224400 is an abundant number, since it is smaller than the sum of its proper divisors (198432757929).

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

80304224400 is an equidigital number, since it uses as much as digits as its factorization.

80304224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9470 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 80304224400 its reverse (442240308), we get a palindrome (80746464708).

It can be divided in two parts, 80304 and 224400, that added together give a square (304704 = 552²).

The spelling of 80304224400 in words is "eighty billion, three hundred four million, two hundred twenty-four thousand, four hundred".