80559360 has 432 divisors, whose sum is σ = 339271296. Its totient is φ = 17915904.

The previous prime is 80559343. The next prime is 80559371. The reversal of 80559360 is 6395508.

80559360 is a `hidden beast` number, since 8 + 0 + 5 + 593 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2177262 + ... + 2177298.

Almost surely, 2^80559360 is an apocalyptic number.

80559360 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 80559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169635648).

80559360 is an abundant number, since it is smaller than the sum of its proper divisors (258711936).

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

80559360 is an equidigital number, since it uses as much as digits as its factorization.

80559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 80559360 is about 8975.4866163345. The cubic root of 80559360 is about 431.8888602987. Note that the first 4 decimals are identical.

The spelling of 80559360 in words is "eighty million, five hundred fifty-nine thousand, three hundred sixty".