80809984 has 52 divisors (see below), whose sum is σ = 163983820. Its totient is φ = 39813120.

The previous prime is 80809919. The next prime is 80809987. The reversal of 80809984 is 48990808.

It can be written as a sum of positive squares in 2 ways, for example, as 21827584 + 58982400 = 4672^2 + 7680^2 .

It is not an unprimeable number, because it can be changed into a prime (80809987) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 446374 + ... + 446554.

It is an arithmetic number, because the mean of its divisors is an integer number (3153535).

Almost surely, 2^80809984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81991910).

80809984 is an abundant number, since it is smaller than the sum of its proper divisors (83173836).

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

80809984 is a wasteful number, since it uses less digits than its factorization.

80809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The square root of 80809984 is about 8989.4373572543. The cubic root of 80809984 is about 432.3362722400.

The spelling of 80809984 in words is "eighty million, eight hundred nine thousand, nine hundred eighty-four".