814720256 has 108 divisors (see below), whose sum is σ = 1912595328. Its totient is φ = 345332736.

The previous prime is 814720253. The next prime is 814720267. The reversal of 814720256 is 652027418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814720253) 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 11 ways as a sum of consecutive naturals, for example, 1341905 + ... + 1342511.

It is an arithmetic number, because the mean of its divisors is an integer number (17709216).

Almost surely, 2^814720256 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 814720256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956297664).

814720256 is an abundant number, since it is smaller than the sum of its proper divisors (1097875072).

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

814720256 is a wasteful number, since it uses less digits than its factorization.

814720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 814720256 is about 28543.3049242725. The cubic root of 814720256 is about 933.9769782501.

The spelling of 814720256 in words is "eight hundred fourteen million, seven hundred twenty thousand, two hundred fifty-six".