786560 has 32 divisors (see below), whose sum is σ = 1881900. Its totient is φ = 314368.

The previous prime is 786553. The next prime is 786587. The reversal of 786560 is 65687.

It can be written as a sum of positive squares in 2 ways, for example, as 732736 + 53824 = 856^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26 + ... + 1254.

2⁷⁸⁶⁵⁶⁰ 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 786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940950).

786560 is an abundant number, since it is smaller than the sum of its proper divisors (1095340).

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

786560 is a wasteful number, since it uses less digits than its factorization.

786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 786560 is about 886.8821793226. The cubic root of 786560 is about 92.3089800390.

The spelling of 786560 in words is "seven hundred eighty-six thousand, five hundred sixty".