11779080 has 64 divisors (see below), whose sum is σ = 35717760. Its totient is φ = 3107328.

The previous prime is 11779067. The next prime is 11779109. The reversal of 11779080 is 8097711.

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 15 ways as a sum of consecutive naturals, for example, 11884 + ... + 12836.

It is an arithmetic number, because the mean of its divisors is an integer number (558090).

Almost surely, 2^11779080 is an apocalyptic number.

11779080 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 11779080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17858880).

11779080 is an abundant number, since it is smaller than the sum of its proper divisors (23938680).

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

11779080 is a wasteful number, since it uses less digits than its factorization.

11779080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 33.

The square root of 11779080 is about 3432.0664329235. The cubic root of 11779080 is about 227.5291916009.

It can be divided in two parts, 117 and 79080, that added together give a palindrome (79197).

The spelling of 11779080 in words is "eleven million, seven hundred seventy-nine thousand, eighty".