780224 has 28 divisors (see below), whose sum is σ = 1578864. Its totient is φ = 382464.

The previous prime is 780223. The next prime is 780233. The reversal of 780224 is 422087.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 780224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780223) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4589 + ... + 4755.

It is an arithmetic number, because the mean of its divisors is an integer number (56388).

2⁷⁸⁰²²⁴ 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 780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789432).

780224 is an abundant number, since it is smaller than the sum of its proper divisors (798640).

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

780224 is a wasteful number, since it uses less digits than its factorization.

780224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 780224 is about 883.3028925572. The cubic root of 780224 is about 92.0604517628.

The spelling of 780224 in words is "seven hundred eighty thousand, two hundred twenty-four".