11776000 has 104 divisors (see below), whose sum is σ = 30667104. Its totient is φ = 4505600.

The previous prime is 11775971. The next prime is 11776003. The reversal of 11776000 is 67711.

It is not an unprimeable number, because it can be changed into a prime (11776003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511989 + ... + 512011.

It is an arithmetic number, because the mean of its divisors is an integer number (294876).

Almost surely, 2^11776000 is an apocalyptic number.

11776000 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 11776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15333552).

11776000 is an abundant number, since it is smaller than the sum of its proper divisors (18891104).

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

11776000 is an frugal number, since it uses more digits than its factorization.

11776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 11776000 is about 3431.6176943244. The cubic root of 11776000 is about 227.5093583881.

The spelling of 11776000 in words is "eleven million, seven hundred seventy-six thousand".