779568 has 40 divisors (see below), whose sum is σ = 2046000. Its totient is φ = 255744.

The previous prime is 779563. The next prime is 779573. The reversal of 779568 is 865977.

779568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (779563) and next prime (779573).

It is not an unprimeable number, because it can be changed into a prime (779561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5158 + ... + 5306.

It is an arithmetic number, because the mean of its divisors is an integer number (51150).

2⁷⁷⁹⁵⁶⁸ 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 779568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023000).

779568 is an abundant number, since it is smaller than the sum of its proper divisors (1266432).

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

779568 is a wasteful number, since it uses less digits than its factorization.

779568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 779568 is about 882.9314809202. The cubic root of 779568 is about 92.0346435377.

The spelling of 779568 in words is "seven hundred seventy-nine thousand, five hundred sixty-eight".