180769344 has 112 divisors (see below), whose sum is σ = 575462400. Its totient is φ = 48923136.

The previous prime is 180769343. The next prime is 180769357. The reversal of 180769344 is 443967081.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 180769296 and 180769305.

It is not an unprimeable number, because it can be changed into a prime (180769343) 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, 21997 + ... + 29075.

Almost surely, 2^180769344 is an apocalyptic number.

180769344 is a gapful number since it is divisible by the number (14) 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 180769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287731200).

180769344 is an abundant number, since it is smaller than the sum of its proper divisors (394693056).

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

180769344 is a wasteful number, since it uses less digits than its factorization.

180769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7120 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 180769344 is about 13445.0490516026. The cubic root of 180769344 is about 565.4248966641.

The spelling of 180769344 in words is "one hundred eighty million, seven hundred sixty-nine thousand, three hundred forty-four".