779665920 has 240 divisors, whose sum is σ = 2742949440. Its totient is φ = 188784640.

The previous prime is 779665907. The next prime is 779665927. The reversal of 779665920 is 29566977.

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

It is not an unprimeable number, because it can be changed into a prime (779665927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928861 + ... + 929699.

It is an arithmetic number, because the mean of its divisors is an integer number (11428956).

Almost surely, 2^779665920 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 779665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371474720).

779665920 is an abundant number, since it is smaller than the sum of its proper divisors (1963283520).

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

779665920 is a wasteful number, since it uses less digits than its factorization.

779665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The square root of 779665920 is about 27922.4984555466. The cubic root of 779665920 is about 920.3849680647.

The spelling of 779665920 in words is "seven hundred seventy-nine million, six hundred sixty-five thousand, nine hundred twenty".