1782282240 has 288 divisors, whose sum is σ = 6278322960. Its totient is φ = 467533824.

The previous prime is 1782282223. The next prime is 1782282247. The reversal of 1782282240 is 422822871.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1782282195 and 1782282204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782282247) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7649164 + ... + 7649396.

Almost surely, 2^1782282240 is an apocalyptic number.

1782282240 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 1782282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139161480).

1782282240 is an abundant number, since it is smaller than the sum of its proper divisors (4496040720).

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

1782282240 is a wasteful number, since it uses less digits than its factorization.

1782282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 1782282240 is about 42217.0846932850. The cubic root of 1782282240 is about 1212.4360095184.

The spelling of 1782282240 in words is "one billion, seven hundred eighty-two million, two hundred eighty-two thousand, two hundred forty".