780448 has 24 divisors (see below), whose sum is σ = 1591380. Its totient is φ = 376768.

The previous prime is 780433. The next prime is 780457. The reversal of 780448 is 844087.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 94864 = 828^2 + 308^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26898 + ... + 26926.

2⁷⁸⁰⁴⁴⁸ 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 780448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795690).

780448 is an abundant number, since it is smaller than the sum of its proper divisors (810932).

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

780448 is an frugal number, since it uses more digits than its factorization.

780448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 780448 is about 883.4296802802. The cubic root of 780448 is about 92.0692610142.

The spelling of 780448 in words is "seven hundred eighty thousand, four hundred forty-eight".