781006560 has 192 divisors, whose sum is σ = 2577899520. Its totient is φ = 198512640.

The previous prime is 781006547. The next prime is 781006573. The reversal of 781006560 is 65600187.

781006560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (781006547) and next prime (781006573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085881 + ... + 1086599.

It is an arithmetic number, because the mean of its divisors is an integer number (13426560).

Almost surely, 2^781006560 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 781006560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288949760).

781006560 is an abundant number, since it is smaller than the sum of its proper divisors (1796892960).

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

781006560 is a wasteful number, since it uses less digits than its factorization.

781006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 781006560 is about 27946.4945923456. The cubic root of 781006560 is about 920.9122017218.

The spelling of 781006560 in words is "seven hundred eighty-one million, six thousand, five hundred sixty".