1180080720 has 720 divisors, whose sum is σ = 5186668032. Its totient is φ = 238049280.

The previous prime is 1180080719. The next prime is 1180080743. The reversal of 1180080720 is 270800811.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 14217799 + ... + 14217881.

Almost surely, 2^1180080720 is an apocalyptic number.

1180080720 is a gapful number since it is divisible by the number (10) 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 1180080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2593334016).

1180080720 is an abundant number, since it is smaller than the sum of its proper divisors (4006587312).

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

1180080720 is a wasteful number, since it uses less digits than its factorization.

1180080720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 1180080720 is about 34352.3029795675. The cubic root of 1180080720 is about 1056.7459003545.

The spelling of 1180080720 in words is "one billion, one hundred eighty million, eighty thousand, seven hundred twenty".