11777920 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 3655680.

The previous prime is 11777903. The next prime is 11777921. The reversal of 11777920 is 2977711.

11777920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11777921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49161 + ... + 49399.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^11777920 is an apocalyptic number.

11777920 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 11777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

11777920 is an abundant number, since it is smaller than the sum of its proper divisors (23473280).

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

11777920 is a wasteful number, since it uses less digits than its factorization.

11777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 34.

The square root of 11777920 is about 3431.8974343648. The cubic root of 11777920 is about 227.5217223552.

The spelling of 11777920 in words is "eleven million, seven hundred seventy-seven thousand, nine hundred twenty".