11779280 has 40 divisors (see below), whose sum is σ = 27775752. Its totient is φ = 4644864.

The previous prime is 11779279. The next prime is 11779301. The reversal of 11779280 is 8297711.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 8596624 = 1784^2 + 2932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11779280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4832 + ... + 6848.

Almost surely, 2^11779280 is an apocalyptic number.

11779280 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 11779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13887876).

11779280 is an abundant number, since it is smaller than the sum of its proper divisors (15996472).

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

11779280 is a wasteful number, since it uses less digits than its factorization.

11779280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 35.

The square root of 11779280 is about 3432.0955697649. The cubic root of 11779280 is about 227.5304793523.

It can be divided in two parts, 117 and 79280, that added together give a palindrome (79397).

The spelling of 11779280 in words is "eleven million, seven hundred seventy-nine thousand, two hundred eighty".