782117480205 has 48 divisors (see below), whose sum is σ = 1433990877696. Its totient is φ = 393527566080.

The previous prime is 782117480203. The next prime is 782117480219. The reversal of 782117480205 is 502084711287.

It is not a de Polignac number, because 782117480205 - 2¹ = 782117480203 is a prime.

It is a super-2 number, since 2×782117480205² (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 a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782117480201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5100261 + ... + 5251370.

It is an arithmetic number, because the mean of its divisors is an integer number (29874809952).

Almost surely, 2^782117480205 is an apocalyptic number.

It is an amenable number.

782117480205 is a deficient number, since it is larger than the sum of its proper divisors (651873397491).

782117480205 is a wasteful number, since it uses less digits than its factorization.

782117480205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10351738 (or 10351735 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 782117480205 in words is "seven hundred eighty-two billion, one hundred seventeen million, four hundred eighty thousand, two hundred five".