780010560 has 336 divisors, whose sum is σ = 3181965696. Its totient is φ = 178163712.

The previous prime is 780010559. The next prime is 780010573. The reversal of 780010560 is 65010087.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543604 + ... + 545036.

It is an arithmetic number, because the mean of its divisors is an integer number (9470136).

Almost surely, 2^780010560 is an apocalyptic number.

780010560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590982848).

780010560 is an abundant number, since it is smaller than the sum of its proper divisors (2401955136).

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

780010560 is a wasteful number, since it uses less digits than its factorization.

780010560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 780010560 is about 27928.6691412248. The cubic root of 780010560 is about 920.5205623582.

The spelling of 780010560 in words is "seven hundred eighty million, ten thousand, five hundred sixty".