779800320 has 432 divisors, whose sum is σ = 2999872512. Its totient is φ = 185794560.

The previous prime is 779800297. The next prime is 779800327. The reversal of 779800320 is 23008977.

779800320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779800327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6140097 + ... + 6140223.

Almost surely, 2^779800320 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 779800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499936256).

779800320 is an abundant number, since it is smaller than the sum of its proper divisors (2220072192).

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

779800320 is a wasteful number, since it uses less digits than its factorization.

779800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 779800320 is about 27924.9050132673. The cubic root of 779800320 is about 920.4378508141.

The spelling of 779800320 in words is "seven hundred seventy-nine million, eight hundred thousand, three hundred twenty".