180782080 has 176 divisors, whose sum is σ = 481061376. Its totient is φ = 64880640.

The previous prime is 180782003. The next prime is 180782083. The reversal of 180782080 is 80287081.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (180782083) 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, 2698207 + ... + 2698273.

Almost surely, 2^180782080 is an apocalyptic number.

180782080 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 180782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240530688).

180782080 is an abundant number, since it is smaller than the sum of its proper divisors (300279296).

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

180782080 is a wasteful number, since it uses less digits than its factorization.

180782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 34.

The square root of 180782080 is about 13445.5226748535. The cubic root of 180782080 is about 565.4381752474.

The spelling of 180782080 in words is "one hundred eighty million, seven hundred eighty-two thousand, eighty".