1782051840 has 220 divisors, whose sum is σ = 6387352356. Its totient is φ = 475103232.

The previous prime is 1782051811. The next prime is 1782051841. The reversal of 1782051840 is 481502871.

It can be written as a sum of positive squares in 2 ways, for example, as 796594176 + 985457664 = 28224^2 + 31392^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1782051795 and 1782051804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782051841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 412572 + ... + 416868.

Almost surely, 2^1782051840 is an apocalyptic number.

1782051840 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 1782051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193676178).

1782051840 is an abundant number, since it is smaller than the sum of its proper divisors (4605300516).

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

1782051840 is an equidigital number, since it uses as much as digits as its factorization.

1782051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1782051840 is about 42214.3558520084. The cubic root of 1782051840 is about 1212.3837624073.

The spelling of 1782051840 in words is "one billion, seven hundred eighty-two million, fifty-one thousand, eight hundred forty".