783343042560 has 840 divisors, whose sum is σ = 3038487842040. Its totient is φ = 192631799808.

The previous prime is 783343042511. The next prime is 783343042577. The reversal of 783343042560 is 65240343387.

783343042560 is a `hidden beast` number, since 7 + 8 + 3 + 3 + 43 + 0 + 42 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 782757789696 = 24192^2 + 884736^2 .

It is a super-2 number, since 2×783343042560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 776355336 + ... + 776356344.

It is an arithmetic number, because the mean of its divisors is an integer number (3617247431).

Almost surely, 2^783343042560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 783343042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519243921020).

783343042560 is an abundant number, since it is smaller than the sum of its proper divisors (2255144799480).

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

783343042560 is an equidigital number, since it uses as much as digits as its factorization.

783343042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 783343042560 in words is "seven hundred eighty-three billion, three hundred forty-three million, forty-two thousand, five hundred sixty".