11787980 has 48 divisors (see below), whose sum is σ = 26503680. Its totient is φ = 4390848.

The previous prime is 11787959. The next prime is 11787991. The reversal of 11787980 is 8978711.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25229 + ... + 25691.

It is an arithmetic number, because the mean of its divisors is an integer number (552160).

Almost surely, 2^11787980 is an apocalyptic number.

11787980 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 11787980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251840).

11787980 is an abundant number, since it is smaller than the sum of its proper divisors (14715700).

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

11787980 is a wasteful number, since it uses less digits than its factorization.

11787980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 41.

The square root of 11787980 is about 3433.3627830452. The cubic root of 11787980 is about 227.5864824364.

The spelling of 11787980 in words is "eleven million, seven hundred eighty-seven thousand, nine hundred eighty".