80027200 has 84 divisors (see below), whose sum is σ = 214865712. Its totient is φ = 29094400.

The previous prime is 80027197. The next prime is 80027201. The reversal of 80027200 is 272008.

It is not an unprimeable number, because it can be changed into a prime (80027201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15327 + ... + 19873.

Almost surely, 2^80027200 is an apocalyptic number.

80027200 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 80027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107432856).

80027200 is an abundant number, since it is smaller than the sum of its proper divisors (134838512).

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

80027200 is a wasteful number, since it uses less digits than its factorization.

80027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 80027200 is about 8945.7923070011. The cubic root of 80027200 is about 430.9357663259.

Adding to 80027200 its reverse (272008), we get a palindrome (80299208).

The spelling of 80027200 in words is "eighty million, twenty-seven thousand, two hundred".