1782040000 has 280 divisors, whose sum is σ = 4999024800. Its totient is φ = 625152000.

The previous prime is 1782039983. The next prime is 1782040003. The reversal of 1782040000 is 402871.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11959926 + ... + 11960074.

It is an arithmetic number, because the mean of its divisors is an integer number (17853660).

Almost surely, 2^1782040000 is an apocalyptic number.

1782040000 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 1782040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499512400).

1782040000 is an abundant number, since it is smaller than the sum of its proper divisors (3216984800).

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

1782040000 is a wasteful number, since it uses less digits than its factorization.

1782040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1782040000 is about 42214.2156151219. The cubic root of 1782040000 is about 1212.3810773646.

Adding to 1782040000 its reverse (402871), we get a palindrome (1782442871).

The spelling of 1782040000 in words is "one billion, seven hundred eighty-two million, forty thousand".