786848977728 has 672 divisors, whose sum is σ = 2727855636480. Its totient is φ = 214050816000.

The previous prime is 786848977727. The next prime is 786848977769. The reversal of 786848977728 is 827779848687.

786848977728 is a `hidden beast` number, since 7 + 8 + 68 + 489 + 7 + 7 + 72 + 8 = 666.

786848977728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (786848977723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237072453 + ... + 237075771.

Almost surely, 2^786848977728 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 786848977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363927818240).

786848977728 is an abundant number, since it is smaller than the sum of its proper divisors (1941006658752).

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

786848977728 is a wasteful number, since it uses less digits than its factorization.

786848977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3454 counting only the distinct ones).

The product of its digits is 4248502272, while the sum is 81.

The spelling of 786848977728 in words is "seven hundred eighty-six billion, eight hundred forty-eight million, nine hundred seventy-seven thousand, seven hundred twenty-eight".