779717664 has 480 divisors, whose sum is σ = 2766234240. Its totient is φ = 212889600.

The previous prime is 779717647. The next prime is 779717689. The reversal of 779717664 is 466717977.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3111696) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 779717664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19017484 + ... + 19017524.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2^779717664 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 779717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383117120).

779717664 is an abundant number, since it is smaller than the sum of its proper divisors (1986516576).

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

779717664 is a wasteful number, since it uses less digits than its factorization.

779717664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 779717664 is about 27923.4250048235. The cubic root of 779717664 is about 920.4053286426.

The spelling of 779717664 in words is "seven hundred seventy-nine million, seven hundred seventeen thousand, six hundred sixty-four".