1180800720 has 160 divisors (see below), whose sum is σ = 4437037440. Its totient is φ = 286248960.

The previous prime is 1180800701. The next prime is 1180800737. The reversal of 1180800720 is 270080811.

It is a super-3 number, since 3×1180800720³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 1089 + ... + 48608.

It is an arithmetic number, because the mean of its divisors is an integer number (27731484).

Almost surely, 2^1180800720 is an apocalyptic number.

1180800720 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 1180800720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218518720).

1180800720 is an abundant number, since it is smaller than the sum of its proper divisors (3256236720).

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

1180800720 is a wasteful number, since it uses less digits than its factorization.

1180800720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49730 (or 49718 counting only the distinct ones).

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

The square root of 1180800720 is about 34362.7810283161. The cubic root of 1180800720 is about 1056.9607733283.

The spelling of 1180800720 in words is "one billion, one hundred eighty million, eight hundred thousand, seven hundred twenty".