779911680 has 160 divisors (see below), whose sum is σ = 2511964224. Its totient is φ = 206422016.

The previous prime is 779911667. The next prime is 779911681. The reversal of 779911680 is 86119977.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (779911681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1328347 + ... + 1328933.

Almost surely, 2^779911680 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 779911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255982112).

779911680 is an abundant number, since it is smaller than the sum of its proper divisors (1732052544).

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

779911680 is a wasteful number, since it uses less digits than its factorization.

779911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The square root of 779911680 is about 27926.8988611339. The cubic root of 779911680 is about 920.4816633465.

The spelling of 779911680 in words is "seven hundred seventy-nine million, nine hundred eleven thousand, six hundred eighty".