11878776 has 192 divisors, whose sum is σ = 41496000. Its totient is φ = 3048192.

The previous prime is 11878759. The next prime is 11878829. The reversal of 11878776 is 67787811.

It is a happy number.

It is a super-2 number, since 2×11878776² = 282210638516352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 321030 + ... + 321066.

It is an arithmetic number, because the mean of its divisors is an integer number (216125).

Almost surely, 2^11878776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11878776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748000).

11878776 is an abundant number, since it is smaller than the sum of its proper divisors (29617224).

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

11878776 is a wasteful number, since it uses less digits than its factorization.

11878776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The square root of 11878776 is about 3446.5600241400. The cubic root of 11878776 is about 228.1693109897.

The spelling of 11878776 in words is "eleven million, eight hundred seventy-eight thousand, seven hundred seventy-six".