518842880 has 80 divisors (see below), whose sum is σ = 1309603680. Its totient is φ = 196595712.

The previous prime is 518842871. The next prime is 518842889. The reversal of 518842880 is 88248815.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (518842871) and next prime (518842889).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (518842889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43307 + ... + 53973.

It is an arithmetic number, because the mean of its divisors is an integer number (16370046).

Almost surely, 2^518842880 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 518842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654801840).

518842880 is an abundant number, since it is smaller than the sum of its proper divisors (790760800).

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

518842880 is a wasteful number, since it uses less digits than its factorization.

518842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10709 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The square root of 518842880 is about 22778.1228374948. The cubic root of 518842880 is about 803.5482392311.

The spelling of 518842880 in words is "five hundred eighteen million, eight hundred forty-two thousand, eight hundred eighty".