779874960 has 160 divisors (see below), whose sum is σ = 2531088000. Its totient is φ = 198381568.

The previous prime is 779874959. The next prime is 779875009. The reversal of 779874960 is 69478977.

It is a self number, because there is not a number n which added to its sum of digits gives 779874960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618811 + ... + 620069.

It is an arithmetic number, because the mean of its divisors is an integer number (15819300).

Almost surely, 2^779874960 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 779874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265544000).

779874960 is an abundant number, since it is smaller than the sum of its proper divisors (1751213040).

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

779874960 is a wasteful number, since it uses less digits than its factorization.

779874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 779874960 is about 27926.2414227192. The cubic root of 779874960 is about 920.4672170025.

The spelling of 779874960 in words is "seven hundred seventy-nine million, eight hundred seventy-four thousand, nine hundred sixty".