11778880 has 28 divisors (see below), whose sum is σ = 28049220. Its totient is φ = 4711424.

The previous prime is 11778859. The next prime is 11778889. The reversal of 11778880 is 8887711.

11778880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4293184 + 7485696 = 2072^2 + 2736^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11778889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18085 + ... + 18724.

Almost surely, 2^11778880 is an apocalyptic number.

11778880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11778880 is an abundant number, since it is smaller than the sum of its proper divisors (16270340).

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

11778880 is an equidigital number, since it uses as much as digits as its factorization.

11778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36826 (or 36816 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 40.

The square root of 11778880 is about 3432.0372958346. The cubic root of 11778880 is about 227.5279038349.

The spelling of 11778880 in words is "eleven million, seven hundred seventy-eight thousand, eight hundred eighty".