11768800 has 72 divisors (see below), whose sum is σ = 29435616. Its totient is φ = 4592640.

The previous prime is 11768767. The next prime is 11768807. The reversal of 11768800 is 886711.

11768800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11768807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37444 + ... + 37756.

It is an arithmetic number, because the mean of its divisors is an integer number (408828).

Almost surely, 2^11768800 is an apocalyptic number.

11768800 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 11768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14717808).

11768800 is an abundant number, since it is smaller than the sum of its proper divisors (17666816).

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

11768800 is a wasteful number, since it uses less digits than its factorization.

11768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 11768800 is about 3430.5684660126. The cubic root of 11768800 is about 227.4629815386.

The spelling of 11768800 in words is "eleven million, seven hundred sixty-eight thousand, eight hundred".