11790880 has 24 divisors (see below), whose sum is σ = 27856332. Its totient is φ = 4716288.

The previous prime is 11790859. The next prime is 11790913. The reversal of 11790880 is 8809711.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 258064 = 3396^2 + 508^2 .

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 3 ways as a sum of consecutive naturals, for example, 36687 + ... + 37006.

Almost surely, 2^11790880 is an apocalyptic number.

11790880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11790880 is an abundant number, since it is smaller than the sum of its proper divisors (16065452).

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

11790880 is an equidigital number, since it uses as much as digits as its factorization.

11790880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73708 (or 73700 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 11790880 is about 3433.7850835485. The cubic root of 11790880 is about 227.6051440075.

The spelling of 11790880 in words is "eleven million, seven hundred ninety thousand, eight hundred eighty".