779680 has 48 divisors (see below), whose sum is σ = 2013984. Its totient is φ = 282880.

The previous prime is 779663. The next prime is 779693. The reversal of 779680 is 86977.

779680 = 91² + 92² + ... + 145².

779680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

779680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1539 + ... + 1981.

It is an arithmetic number, because the mean of its divisors is an integer number (41958).

2⁷⁷⁹⁶⁸⁰ 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 779680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006992).

779680 is an abundant number, since it is smaller than the sum of its proper divisors (1234304).

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

779680 is a wasteful number, since it uses less digits than its factorization.

779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 779680 is about 882.9949037226. The cubic root of 779680 is about 92.0390508447.

The spelling of 779680 in words is "seven hundred seventy-nine thousand, six hundred eighty".