779340960 has 192 divisors, whose sum is σ = 2759702400. Its totient is φ = 205387776.

The previous prime is 779340959. The next prime is 779340967. The reversal of 779340960 is 69043977.

779340960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (779340967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383467 + ... + 385493.

It is an arithmetic number, because the mean of its divisors is an integer number (14373450).

Almost surely, 2^779340960 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 779340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379851200).

779340960 is an abundant number, since it is smaller than the sum of its proper divisors (1980361440).

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

779340960 is a wasteful number, since it uses less digits than its factorization.

779340960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 779340960 is about 27916.6788855695. The cubic root of 779340960 is about 920.2570800151.

The spelling of 779340960 in words is "seven hundred seventy-nine million, three hundred forty thousand, nine hundred sixty".