11783760 has 80 divisors (see below), whose sum is σ = 37545216. Its totient is φ = 3055104.

The previous prime is 11783741. The next prime is 11783767. The reversal of 11783760 is 6738711.

11783760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11783767) 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, 8217 + ... + 9543.

Almost surely, 2^11783760 is an apocalyptic number.

11783760 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 11783760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18772608).

11783760 is an abundant number, since it is smaller than the sum of its proper divisors (25761456).

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

11783760 is a wasteful number, since it uses less digits than its factorization.

11783760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 11783760 is about 3432.7481701983. The cubic root of 11783760 is about 227.5593211646.

The spelling of 11783760 in words is "eleven million, seven hundred eighty-three thousand, seven hundred sixty".