779906880 has 140 divisors (see below), whose sum is σ = 2774358180. Its totient is φ = 207968256.

The previous prime is 779906863. The next prime is 779906891. The reversal of 779906880 is 88609977.

It can be written as a sum of positive squares in 2 ways, for example, as 331822656 + 448084224 = 18216^2 + 21168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10876 + ... + 40964.

Almost surely, 2^779906880 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 779906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387179090).

779906880 is an abundant number, since it is smaller than the sum of its proper divisors (1994451300).

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

779906880 is a wasteful number, since it uses less digits than its factorization.

779906880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30118 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 779906880 is about 27926.8129223512. The cubic root of 779906880 is about 920.4797749613.

The spelling of 779906880 in words is "seven hundred seventy-nine million, nine hundred six thousand, eight hundred eighty".