780408560 has 80 divisors (see below), whose sum is σ = 1884254400. Its totient is φ = 300238848.

The previous prime is 780408547. The next prime is 780408593. The reversal of 780408560 is 65804087.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 832412 + ... + 833348.

It is an arithmetic number, because the mean of its divisors is an integer number (23553180).

Almost surely, 2^780408560 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 780408560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942127200).

780408560 is an abundant number, since it is smaller than the sum of its proper divisors (1103845840).

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

780408560 is a wasteful number, since it uses less digits than its factorization.

780408560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 780408560 is about 27935.7935273011. The cubic root of 780408560 is about 920.6771007896.

The spelling of 780408560 in words is "seven hundred eighty million, four hundred eight thousand, five hundred sixty".