782406012528 has 200 divisors, whose sum is σ = 2608393306112. Its totient is φ = 221784054912.

The previous prime is 782406012473. The next prime is 782406012529. The reversal of 782406012528 is 825210604287.

782406012528 is a `hidden beast` number, since 7 + 82 + 40 + 6 + 0 + 1 + 2 + 528 = 666.

It is a super-2 number, since 2×782406012528² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (782406012529) 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 39 ways as a sum of consecutive naturals, for example, 812601 + ... + 1491687.

Almost surely, 2^782406012528 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 782406012528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304196653056).

782406012528 is an abundant number, since it is smaller than the sum of its proper divisors (1825987293584).

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

782406012528 is a wasteful number, since it uses less digits than its factorization.

782406012528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679241 (or 679226 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 782406012528 in words is "seven hundred eighty-two billion, four hundred six million, twelve thousand, five hundred twenty-eight".