11778816 has 108 divisors (see below), whose sum is σ = 36583512. Its totient is φ = 3354624.

The previous prime is 11778797. The next prime is 11778847. The reversal of 11778816 is 61887711.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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, 37476 + ... + 37788.

Almost surely, 2^11778816 is an apocalyptic number.

11778816 is a gapful number since it is divisible by the number (16) 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 11778816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18291756).

11778816 is an abundant number, since it is smaller than the sum of its proper divisors (24804696).

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

11778816 is an equidigital number, since it uses as much as digits as its factorization.

11778816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its digits is 18816, while the sum is 39.

The square root of 11778816 is about 3432.0279719140. The cubic root of 11778816 is about 227.5274917467.

11778816 divided by its product of digits (18816) gives a palindrome (626).

The spelling of 11778816 in words is "eleven million, seven hundred seventy-eight thousand, eight hundred sixteen".