718080 has 144 divisors (see below), whose sum is σ = 2649024. Its totient is φ = 163840.

The previous prime is 718051. The next prime is 718087. The reversal of 718080 is 80817.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 718080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (718087) by changing a digit.

718080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42232 + ... + 42248.

It is an arithmetic number, because the mean of its divisors is an integer number (18396).

2⁷¹⁸⁰⁸⁰ 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 718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324512).

718080 is an abundant number, since it is smaller than the sum of its proper divisors (1930944).

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

718080 is a wasteful number, since it uses less digits than its factorization.

718080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 718080 is about 847.3960113194. The cubic root of 718080 is about 89.5483545911.

Adding to 718080 its reverse (80817), we get a palindrome (798897).

It can be divided in two parts, 7180 and 80, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 718080 in words is "seven hundred eighteen thousand, eighty".