11782480 has 40 divisors (see below), whose sum is σ = 28283904. Its totient is φ = 4560000.

The previous prime is 11782453. The next prime is 11782481. The reversal of 11782480 is 8428711.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11782481) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 4855.

Almost surely, 2^11782480 is an apocalyptic number.

11782480 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 11782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141952).

11782480 is an abundant number, since it is smaller than the sum of its proper divisors (16501424).

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

11782480 is a wasteful number, since it uses less digits than its factorization.

11782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4795 (or 4789 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 11782480 is about 3432.5617255921. The cubic root of 11782480 is about 227.5510813928.

The spelling of 11782480 in words is "eleven million, seven hundred eighty-two thousand, four hundred eighty".