779084064 has 144 divisors (see below), whose sum is σ = 2495211264. Its totient is φ = 228441600.

The previous prime is 779084063. The next prime is 779084077. The reversal of 779084064 is 460480977.

779084064 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 (144).

It is not an unprimeable number, because it can be changed into a prime (779084063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94242 + ... + 102174.

It is an arithmetic number, because the mean of its divisors is an integer number (17327856).

Almost surely, 2^779084064 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 779084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247605632).

779084064 is an abundant number, since it is smaller than the sum of its proper divisors (1716127200).

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

779084064 is a wasteful number, since it uses less digits than its factorization.

779084064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 779084064 is about 27912.0773859632. The cubic root of 779084064 is about 920.1559533983.

The spelling of 779084064 in words is "seven hundred seventy-nine million, eighty-four thousand, sixty-four".