779040 has 72 divisors (see below), whose sum is σ = 2663388. Its totient is φ = 207360.

The previous prime is 779039. The next prime is 779063. The reversal of 779040 is 40977.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 11664 = 876^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 778995 and 779013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170 + ... + 1710.

2⁷⁷⁹⁰⁴⁰ 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 779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1331694).

779040 is an abundant number, since it is smaller than the sum of its proper divisors (1884348).

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

779040 is a wasteful number, since it uses less digits than its factorization.

779040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 779040 is about 882.6324263248. The cubic root of 779040 is about 92.0138605456.

The spelling of 779040 in words is "seven hundred seventy-nine thousand, forty".