11760080 has 80 divisors (see below), whose sum is σ = 29261520. Its totient is φ = 4386816.

The previous prime is 11760079. The next prime is 11760083. The reversal of 11760080 is 8006711.

11760080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 524176 + 11235904 = 724^2 + 3352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11760083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85772 + ... + 85908.

It is an arithmetic number, because the mean of its divisors is an integer number (365769).

Almost surely, 2^11760080 is an apocalyptic number.

11760080 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 11760080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630760).

11760080 is an abundant number, since it is smaller than the sum of its proper divisors (17501440).

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

11760080 is a wasteful number, since it uses less digits than its factorization.

11760080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 11760080 is about 3429.2973041135. The cubic root of 11760080 is about 227.4067886874.

Adding to 11760080 its reverse (8006711), we get a palindrome (19766791).

The spelling of 11760080 in words is "eleven million, seven hundred sixty thousand, eighty".