779904 has 48 divisors (see below), whose sum is σ = 2247570. Its totient is φ = 259584.

The previous prime is 779899. The next prime is 779927. The reversal of 779904 is 409977.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 360000 = 648^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 814 + ... + 1490.

2⁷⁷⁹⁹⁰⁴ 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 779904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123785).

779904 is an abundant number, since it is smaller than the sum of its proper divisors (1467666).

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

779904 is a wasteful number, since it uses less digits than its factorization.

779904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 779904 is about 883.1217356628. The cubic root of 779904 is about 92.0478641926.

The spelling of 779904 in words is "seven hundred seventy-nine thousand, nine hundred four".