80284320 has 144 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 21192192.

The previous prime is 80284307. The next prime is 80284331. The reversal of 80284320 is 2348208.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182661 + ... + 183099.

It is an arithmetic number, because the mean of its divisors is an integer number (1921920).

Almost surely, 2^80284320 is an apocalyptic number.

80284320 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 80284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

80284320 is an abundant number, since it is smaller than the sum of its proper divisors (196472160).

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

80284320 is a wasteful number, since it uses less digits than its factorization.

80284320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 80284320 is about 8960.1517844287. The cubic root of 80284320 is about 431.3967918682.

The spelling of 80284320 in words is "eighty million, two hundred eighty-four thousand, three hundred twenty".