779363234064 has 120 divisors (see below), whose sum is σ = 2206011531672. Its totient is φ = 256832409600.

The previous prime is 779363234059. The next prime is 779363234099. The reversal of 779363234064 is 460432363977.

779363234064 is a `hidden beast` number, since 77 + 93 + 63 + 23 + 406 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 670937915664 + 108425318400 = 819108^2 + 329280^2 .

It is a super-2 number, since 2×779363234064² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 779363234064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9806712 + ... + 9885864.

Almost surely, 2^779363234064 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 779363234064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103005765836).

779363234064 is an abundant number, since it is smaller than the sum of its proper divisors (1426648297608).

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

779363234064 is a wasteful number, since it uses less digits than its factorization.

779363234064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79945 (or 79936 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 779363234064 in words is "seven hundred seventy-nine billion, three hundred sixty-three million, two hundred thirty-four thousand, sixty-four".