80384860 has 48 divisors (see below), whose sum is σ = 175230720. Its totient is φ = 30942720.

The previous prime is 80384849. The next prime is 80384867. The reversal of 80384860 is 6848308.

80384860 is a nontrivial binomial coefficient, being equal to C(12680, 2).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80384867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196336 + ... + 196744.

It is an arithmetic number, because the mean of its divisors is an integer number (3650640).

Almost surely, 2^80384860 is an apocalyptic number.

80384860 is the 12679-th triangular number and also the 6340-th hexagonal number.

80384860 is the 4227-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80384860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87615360).

80384860 is an abundant number, since it is smaller than the sum of its proper divisors (94845860).

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

80384860 is a wasteful number, since it uses less digits than its factorization.

80384860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 80384860 is about 8965.7604250839. The cubic root of 80384860 is about 431.5767960536.

The spelling of 80384860 in words is "eighty million, three hundred eighty-four thousand, eight hundred sixty".