11760800 has 72 divisors (see below), whose sum is σ = 29302812. Its totient is φ = 4608000.

The previous prime is 11760779. The next prime is 11760803. The reversal of 11760800 is 806711.

It can be written as a sum of positive squares in 6 ways, for example, as 2446096 + 9314704 = 1564^2 + 3052^2 .

It is not an unprimeable number, because it can be changed into a prime (11760803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48680 + ... + 48920.

Almost surely, 2^11760800 is an apocalyptic number.

11760800 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 11760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651406).

11760800 is an abundant number, since it is smaller than the sum of its proper divisors (17542012).

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

11760800 is a wasteful number, since it uses less digits than its factorization.

11760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

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

The square root of 11760800 is about 3429.4022802815. The cubic root of 11760800 is about 227.4114295160.

The spelling of 11760800 in words is "eleven million, seven hundred sixty thousand, eight hundred".