786448 has 40 divisors (see below), whose sum is σ = 1736000. Its totient is φ = 342144.

The previous prime is 786433. The next prime is 786449. The reversal of 786448 is 844687.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3853 + ... + 4051.

It is an arithmetic number, because the mean of its divisors is an integer number (43400).

786448 is a Friedman number, since it can be written as 8*(8/4+6*4^7), using all its digits and the basic arithmetic operations.

2⁷⁸⁶⁴⁴⁸ 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 786448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868000).

786448 is an abundant number, since it is smaller than the sum of its proper divisors (949552).

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

786448 is a wasteful number, since it uses less digits than its factorization.

786448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its digits is 43008, while the sum is 37.

The square root of 786448 is about 886.8190345273. The cubic root of 786448 is about 92.3045984718.

The spelling of 786448 in words is "seven hundred eighty-six thousand, four hundred forty-eight".