80585280 has 140 divisors (see below), whose sum is σ = 286748220. Its totient is φ = 21482496.

The previous prime is 80585279. The next prime is 80585333. The reversal of 80585280 is 8258508.

80585280 is a `hidden beast` number, since 80 + 58 + 528 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 59351616 = 4608^2 + 7704^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24366 + ... + 27474.

Almost surely, 2^80585280 is an apocalyptic number.

80585280 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 80585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143374110).

80585280 is an abundant number, since it is smaller than the sum of its proper divisors (206162940).

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

80585280 is a wasteful number, since it uses less digits than its factorization.

80585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 80585280 is about 8976.9304330601. The cubic root of 80585280 is about 431.9351754583.

The spelling of 80585280 in words is "eighty million, five hundred eighty-five thousand, two hundred eighty".