11781760 has 64 divisors (see below), whose sum is σ = 28917000. Its totient is φ = 4587520.

The previous prime is 11781733. The next prime is 11781761. The reversal of 11781760 is 6718711.

It can be written as a sum of positive squares in 4 ways, for example, as 7011904 + 4769856 = 2648^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11781761) 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, 26016 + ... + 26464.

Almost surely, 2^11781760 is an apocalyptic number.

11781760 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 11781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458500).

11781760 is an abundant number, since it is smaller than the sum of its proper divisors (17135240).

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

11781760 is an equidigital number, since it uses as much as digits as its factorization.

11781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 31.

The square root of 11781760 is about 3432.4568460507. The cubic root of 11781760 is about 227.5464462590.

The spelling of 11781760 in words is "eleven million, seven hundred eighty-one thousand, seven hundred sixty".