778961674512 has 480 divisors, whose sum is σ = 2660565712896. Its totient is φ = 208052582400.

The previous prime is 778961674501. The next prime is 778961674531. The reversal of 778961674512 is 215476169877.

778961674512 is a `hidden beast` number, since 7 + 7 + 8 + 9 + 616 + 7 + 4 + 5 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 778961674512.

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, 131957353 + ... + 131963255.

Almost surely, 2^778961674512 is an apocalyptic number.

778961674512 is a gapful number since it is divisible by the number (72) 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 778961674512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330282856448).

778961674512 is an abundant number, since it is smaller than the sum of its proper divisors (1881604038384).

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

778961674512 is a wasteful number, since it uses less digits than its factorization.

778961674512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6099 (or 6090 counting only the distinct ones).

The product of its digits is 35562240, while the sum is 63.

The spelling of 778961674512 in words is "seven hundred seventy-eight billion, nine hundred sixty-one million, six hundred seventy-four thousand, five hundred twelve".