778428456960 has 1792 divisors, whose sum is σ = 3351883161600. Its totient is φ = 152599265280.

The previous prime is 778428456943. The next prime is 778428456989. The reversal of 778428456960 is 69654824877.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 778428456891 and 778428456900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10663403484 + ... + 10663403556.

Almost surely, 2^778428456960 is an apocalyptic number.

778428456960 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 778428456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675941580800).

778428456960 is an abundant number, since it is smaller than the sum of its proper divisors (2573454704640).

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

778428456960 is a wasteful number, since it uses less digits than its factorization.

778428456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 778428456960 in words is "seven hundred seventy-eight billion, four hundred twenty-eight million, four hundred fifty-six thousand, nine hundred sixty".