11757680 has 80 divisors (see below), whose sum is σ = 30855168. Its totient is φ = 4128000.

The previous prime is 11757677. The next prime is 11757719. The reversal of 11757680 is 8675711.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 11757680.

It is a congruent number.

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, 27065 + ... + 27495.

Almost surely, 2^11757680 is an apocalyptic number.

11757680 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 11757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584).

11757680 is an abundant number, since it is smaller than the sum of its proper divisors (19097488).

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

11757680 is a wasteful number, since it uses less digits than its factorization.

11757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 11757680 is about 3428.9473603425. The cubic root of 11757680 is about 227.3913178906.

The spelling of 11757680 in words is "eleven million, seven hundred fifty-seven thousand, six hundred eighty".