778077715072 has 128 divisors (see below), whose sum is σ = 1868981414400. Its totient is φ = 315195079680.

The previous prime is 778077715043. The next prime is 778077715087. The reversal of 778077715072 is 270517770877.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 778077714998 and 778077715016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7490047 + ... + 7593217.

It is an arithmetic number, because the mean of its divisors is an integer number (14601417300).

Almost surely, 2^778077715072 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 778077715072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934490707200).

778077715072 is an abundant number, since it is smaller than the sum of its proper divisors (1090903699328).

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

778077715072 is a wasteful number, since it uses less digits than its factorization.

778077715072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103654 (or 103642 counting only the distinct ones).

The product of its (nonzero) digits is 9411920, while the sum is 58.

The spelling of 778077715072 in words is "seven hundred seventy-eight billion, seventy-seven million, seven hundred fifteen thousand, seventy-two".