782505648 has 90 divisors (see below), whose sum is σ = 2326449684. Its totient is φ = 245478912.

The previous prime is 782505641. The next prime is 782505649. The reversal of 782505648 is 846505287.

782505648 is a `hidden beast` number, since 7 + 82 + 5 + 0 + 564 + 8 = 666.

It is a super-2 number, since 2×782505648² = 1224630178303799808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (782505641) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 32215 + ... + 51017.

Almost surely, 2^782505648 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 782505648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163224842).

782505648 is an abundant number, since it is smaller than the sum of its proper divisors (1543944036).

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

782505648 is a wasteful number, since it uses less digits than its factorization.

782505648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18851 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 782505648 is about 27973.3024149813. The cubic root of 782505648 is about 921.5010342044.

The spelling of 782505648 in words is "seven hundred eighty-two million, five hundred five thousand, six hundred forty-eight".