778660560 has 160 divisors (see below), whose sum is σ = 2754823680. Its totient is φ = 202010112.

The previous prime is 778660543. The next prime is 778660567. The reversal of 778660560 is 65066877.

778660560 is a `hidden beast` number, since 7 + 7 + 86 + 6 + 0 + 560 = 666.

778660560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778660567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75049 + ... + 84791.

It is an arithmetic number, because the mean of its divisors is an integer number (17217648).

Almost surely, 2^778660560 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 778660560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377411840).

778660560 is an abundant number, since it is smaller than the sum of its proper divisors (1976163120).

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

778660560 is a wasteful number, since it uses less digits than its factorization.

778660560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 778660560 is about 27904.4899612948. The cubic root of 778660560 is about 919.9891933198.

The spelling of 778660560 in words is "seven hundred seventy-eight million, six hundred sixty thousand, five hundred sixty".