11780736 has 64 divisors (see below), whose sum is σ = 34149600. Its totient is φ = 3568640.

The previous prime is 11780731. The next prime is 11780737. The reversal of 11780736 is 63708711.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 11780697 and 11780706.

It is not an unprimeable number, because it can be changed into a prime (11780731) 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, 2830 + ... + 5618.

Almost surely, 2^11780736 is an apocalyptic number.

11780736 is a gapful number since it is divisible by the number (16) 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 11780736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074800).

11780736 is an abundant number, since it is smaller than the sum of its proper divisors (22368864).

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

11780736 is a wasteful number, since it uses less digits than its factorization.

11780736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 11780736 is about 3432.3076785160. The cubic root of 11780736 is about 227.5398537433.

The spelling of 11780736 in words is "eleven million, seven hundred eighty thousand, seven hundred thirty-six".