786688056 has 288 divisors, whose sum is σ = 2827543680. Its totient is φ = 191923200.

The previous prime is 786688013. The next prime is 786688081. The reversal of 786688056 is 650886687.

It is a junction number, because it is equal to n+sod(n) for n = 786687993 and 786688011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1601971 + ... + 1602461.

It is an arithmetic number, because the mean of its divisors is an integer number (9817860).

Almost surely, 2^786688056 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 786688056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413771840).

786688056 is an abundant number, since it is smaller than the sum of its proper divisors (2040855624).

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

786688056 is a wasteful number, since it uses less digits than its factorization.

786688056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 786688056 is about 28047.9599258128. The cubic root of 786688056 is about 923.1398922556.

The spelling of 786688056 in words is "seven hundred eighty-six million, six hundred eighty-eight thousand, fifty-six".