1782849834756 has 81 divisors (see below), whose sum is σ = 4542140437653. Its totient is φ = 589639334400.

The previous prime is 1782849834749. The next prime is 1782849834793. The reversal of 1782849834756 is 6574389482871.

It is a happy number.

The square root of 1782849834756 is 1335234.

It is a perfect power (a square), and thus also a powerful number.

1782849834756 is a `hidden beast` number, since 1 + 7 + 82 + 8 + 498 + 3 + 4 + 7 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1778398276356 + 4451558400 = 1333566^2 + 66720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1113584356 + ... + 1113585956.

Almost surely, 2^{1782849834756} is an apocalyptic number.

1782849834756 is the 1335234-th square number.

It is an amenable number.

1782849834756 is an abundant number, since it is smaller than the sum of its proper divisors (2759290602897).

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

1782849834756 is an equidigital number, since it uses as much as digits as its factorization.

1782849834756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490 (or 1745 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 1782849834756 in words is "one trillion, seven hundred eighty-two billion, eight hundred forty-nine million, eight hundred thirty-four thousand, seven hundred fifty-six".