779340480 has 112 divisors (see below), whose sum is σ = 2604698880. Its totient is φ = 196881408.

The previous prime is 779340479. The next prime is 779340559. The reversal of 779340480 is 84043977.

779340480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3124 + ... + 39603.

It is an arithmetic number, because the mean of its divisors is an integer number (23256240).

Almost surely, 2^779340480 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 779340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302349440).

779340480 is an abundant number, since it is smaller than the sum of its proper divisors (1825358400).

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

779340480 is a wasteful number, since it uses less digits than its factorization.

779340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42766 (or 42756 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 779340480 is about 27916.6702885570. The cubic root of 779340480 is about 920.2568910847.

The spelling of 779340480 in words is "seven hundred seventy-nine million, three hundred forty thousand, four hundred eighty".