780528 has 80 divisors (see below), whose sum is σ = 2428416. Its totient is φ = 211200.

The previous prime is 780523. The next prime is 780553. The reversal of 780528 is 825087.

It is a junction number, because it is equal to n+sod(n) for n = 780495 and 780504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780523) by changing a digit.

780528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7678 + ... + 7778.

2⁷⁸⁰⁵²⁸ 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 780528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208).

780528 is an abundant number, since it is smaller than the sum of its proper divisors (1647888).

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

780528 is a wasteful number, since it uses less digits than its factorization.

780528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 780528 is about 883.4749572003. The cubic root of 780528 is about 92.0724067669.

The spelling of 780528 in words is "seven hundred eighty thousand, five hundred twenty-eight".