782000465444 has 60 divisors (see below), whose sum is σ = 1542061931340. Its totient is φ = 346784064000.

The previous prime is 782000465383. The next prime is 782000465447. The reversal of 782000465444 is 444564000287.

It can be written as a sum of positive squares in 2 ways, for example, as 105000625444 + 676999840000 = 324038^2 + 822800^2 .

It is a super-2 number, since 2×782000465444² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 782000465395 and 782000465404.

It is not an unprimeable number, because it can be changed into a prime (782000465447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2238284 + ... + 2563964.

It is an arithmetic number, because the mean of its divisors is an integer number (25701032189).

Almost surely, 2^782000465444 is an apocalyptic number.

It is an amenable number.

782000465444 is a deficient number, since it is larger than the sum of its proper divisors (760061465896).

782000465444 is a wasteful number, since it uses less digits than its factorization.

782000465444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325770 (or 325735 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 782000465444 in words is "seven hundred eighty-two billion, four hundred sixty-five thousand, four hundred forty-four".