1782000000 has 560 divisors, whose sum is σ = 7231548060. Its totient is φ = 432000000.

The previous prime is 1781999969. The next prime is 1782000019. The reversal of 1782000000 is 2871.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 161999995 + ... + 162000005.

Almost surely, 2^1782000000 is an apocalyptic number.

1782000000 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 1782000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615774030).

1782000000 is an abundant number, since it is smaller than the sum of its proper divisors (5449548060).

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

1782000000 is an frugal number, since it uses more digits than its factorization.

1782000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1782000000 is about 42213.7418384109. The cubic root of 1782000000 is about 1212.3720061867.

Adding to 1782000000 its reverse (2871), we get a palindrome (1782002871).

The spelling of 1782000000 in words is "one billion, seven hundred eighty-two million", and thus it is an aban number.