80727200 has 144 divisors (see below), whose sum is σ = 213736320. Its totient is φ = 29675520.

The previous prime is 80727197. The next prime is 80727209. The reversal of 80727200 is 272708.

It is a self number, because there is not a number n which added to its sum of digits gives 80727200.

It is not an unprimeable number, because it can be changed into a prime (80727209) 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 23 ways as a sum of consecutive naturals, for example, 714344 + ... + 714456.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^80727200 is an apocalyptic number.

80727200 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 80727200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

80727200 is an abundant number, since it is smaller than the sum of its proper divisors (133009120).

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

80727200 is a wasteful number, since it uses less digits than its factorization.

80727200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 80727200 is about 8984.8316623073. The cubic root of 80727200 is about 432.1885893558.

Adding to 80727200 its reverse (272708), we get a palindrome (80999908).

The spelling of 80727200 in words is "eighty million, seven hundred twenty-seven thousand, two hundred".