11777880 has 64 divisors (see below), whose sum is σ = 35935200. Its totient is φ = 3087360.

The previous prime is 11777879. The next prime is 11777903. The reversal of 11777880 is 8877711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6516 + ... + 8124.

Almost surely, 2^11777880 is an apocalyptic number.

11777880 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 11777880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17967600).

11777880 is an abundant number, since it is smaller than the sum of its proper divisors (24157320).

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

11777880 is a wasteful number, since it uses less digits than its factorization.

11777880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 39.

The square root of 11777880 is about 3431.8916066799. The cubic root of 11777880 is about 227.5214647863.

The spelling of 11777880 in words is "eleven million, seven hundred seventy-seven thousand, eight hundred eighty".