779380560 has 240 divisors, whose sum is σ = 3043198080. Its totient is φ = 175057920.

The previous prime is 779380559. The next prime is 779380577. The reversal of 779380560 is 65083977.

It is a happy number.

779380560 is a `hidden beast` number, since 7 + 7 + 9 + 3 + 80 + 560 = 666.

779380560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296050 + ... + 298670.

It is an arithmetic number, because the mean of its divisors is an integer number (12679992).

Almost surely, 2^779380560 is an apocalyptic number.

779380560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 779380560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521599040).

779380560 is an abundant number, since it is smaller than the sum of its proper divisors (2263817520).

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

779380560 is a wasteful number, since it uses less digits than its factorization.

779380560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2697 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 779380560 is about 27917.3881299809. The cubic root of 779380560 is about 920.2726665020.

The spelling of 779380560 in words is "seven hundred seventy-nine million, three hundred eighty thousand, five hundred sixty".