11779680 has 192 divisors, whose sum is σ = 42674688. Its totient is φ = 2703360.

The previous prime is 11779673. The next prime is 11779693. The reversal of 11779680 is 8697711.

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 31 ways as a sum of consecutive naturals, for example, 121392 + ... + 121488.

It is an arithmetic number, because the mean of its divisors is an integer number (222264).

Almost surely, 2^11779680 is an apocalyptic number.

11779680 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 11779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21337344).

11779680 is an abundant number, since it is smaller than the sum of its proper divisors (30895008).

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

11779680 is a wasteful number, since it uses less digits than its factorization.

11779680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 11779680 is about 3432.1538427058. The cubic root of 11779680 is about 227.5330548114.

It can be divided in two parts, 117 and 79680, that added together give a palindrome (79797).

The spelling of 11779680 in words is "eleven million, seven hundred seventy-nine thousand, six hundred eighty".