779280 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 194560.

The previous prime is 779267. The next prime is 779327. The reversal of 779280 is 82977.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3985 + ... + 4175.

2⁷⁷⁹²⁸⁰ is an apocalyptic number.

779280 is the 510-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

779280 is an abundant number, since it is smaller than the sum of its proper divisors (1791984).

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

779280 is a wasteful number, since it uses less digits than its factorization.

779280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 779280 is about 882.7683727910. The cubic root of 779280 is about 92.0233085239.

The spelling of 779280 in words is "seven hundred seventy-nine thousand, two hundred eighty".