779446080 has 504 divisors, whose sum is σ = 3277063296. Its totient is φ = 166256640.

The previous prime is 779446049. The next prime is 779446093. The reversal of 779446080 is 80644977.

779446080 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 (504).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19010860 + ... + 19010900.

Almost surely, 2^779446080 is an apocalyptic number.

779446080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 779446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638531648).

779446080 is an abundant number, since it is smaller than the sum of its proper divisors (2497617216).

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

779446080 is a wasteful number, since it uses less digits than its factorization.

779446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 81 counting only the distinct ones).

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

The square root of 779446080 is about 27918.5615675307. The cubic root of 779446080 is about 920.2984538938.

The spelling of 779446080 in words is "seven hundred seventy-nine million, four hundred forty-six thousand, eighty".