779256 has 48 divisors (see below), whose sum is σ = 2152800. Its totient is φ = 254592.

The previous prime is 779249. The next prime is 779267. The reversal of 779256 is 652977.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 779256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5620 + ... + 5756.

It is an arithmetic number, because the mean of its divisors is an integer number (44850).

2⁷⁷⁹²⁵⁶ 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 779256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076400).

779256 is an abundant number, since it is smaller than the sum of its proper divisors (1373544).

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

779256 is a wasteful number, since it uses less digits than its factorization.

779256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 221 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 779256 is about 882.7547790865. The cubic root of 779256 is about 92.0223638134.

It can be divided in two parts, 779 and 256, that added together give a triangular number (1035 = T₄₅).

The spelling of 779256 in words is "seven hundred seventy-nine thousand, two hundred fifty-six".