80427200 has 168 divisors, whose sum is σ = 232818432. Its totient is φ = 26772480.

The previous prime is 80427197. The next prime is 80427203. The reversal of 80427200 is 272408.

It is an interprime number because it is at equal distance from previous prime (80427197) and next prime (80427203).

It is not an unprimeable number, because it can be changed into a prime (80427203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 481517 + ... + 481683.

It is an arithmetic number, because the mean of its divisors is an integer number (1385824).

Almost surely, 2^80427200 is an apocalyptic number.

80427200 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 80427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116409216).

80427200 is an abundant number, since it is smaller than the sum of its proper divisors (152391232).

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

80427200 is a wasteful number, since it uses less digits than its factorization.

80427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 80427200 is about 8968.1213194292. The cubic root of 80427200 is about 431.6525555697.

Adding to 80427200 its reverse (272408), we get a palindrome (80699608).

The spelling of 80427200 in words is "eighty million, four hundred twenty-seven thousand, two hundred".