786080 has 48 divisors (see below), whose sum is σ = 1973160. Its totient is φ = 295936.

The previous prime is 786077. The next prime is 786109. The reversal of 786080 is 80687.

It can be written as a sum of positive squares in 4 ways, for example, as 659344 + 126736 = 812^2 + 356^2 .

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 786080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46232 + ... + 46248.

2⁷⁸⁶⁰⁸⁰ 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 786080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986580).

786080 is an abundant number, since it is smaller than the sum of its proper divisors (1187080).

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

786080 is an equidigital number, since it uses as much as digits as its factorization.

786080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 786080 is about 886.6115271076. The cubic root of 786080 is about 92.2901989642.

The spelling of 786080 in words is "seven hundred eighty-six thousand, eighty".