782958780513 has 48 divisors (see below), whose sum is σ = 1393061080320. Its totient is φ = 412652679552.

The previous prime is 782958780503. The next prime is 782958780557. The reversal of 782958780513 is 315087859287.

It is not a de Polignac number, because 782958780513 - 2²⁹ = 782421909601 is a prime.

It is a super-2 number, since 2×782958780513² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (782958780503) 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, 617620 + ... + 1395482.

It is an arithmetic number, because the mean of its divisors is an integer number (29022105840).

Almost surely, 2^782958780513 is an apocalyptic number.

It is an amenable number.

782958780513 is a deficient number, since it is larger than the sum of its proper divisors (610102299807).

782958780513 is a wasteful number, since it uses less digits than its factorization.

782958780513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779118 (or 779115 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 782958780513 in words is "seven hundred eighty-two billion, nine hundred fifty-eight million, seven hundred eighty thousand, five hundred thirteen".