779859672480 has 576 divisors, whose sum is σ = 3266905824000. Its totient is φ = 168869836800.

The previous prime is 779859672469. The next prime is 779859672517. The reversal of 779859672480 is 84276958977.

779859672480 is a `hidden beast` number, since 7 + 7 + 9 + 8 + 596 + 7 + 24 + 8 + 0 = 666.

It is a super-2 number, since 2×779859672480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 779859672399 and 779859672408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9342930 + ... + 9426030.

It is an arithmetic number, because the mean of its divisors is an integer number (5671711500).

Almost surely, 2^779859672480 is an apocalyptic number.

779859672480 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 779859672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633452912000).

779859672480 is an abundant number, since it is smaller than the sum of its proper divisors (2487046151520).

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

779859672480 is a wasteful number, since it uses less digits than its factorization.

779859672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83162 (or 83137 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 779859672480 in words is "seven hundred seventy-nine billion, eight hundred fifty-nine million, six hundred seventy-two thousand, four hundred eighty".