785631385728 has 384 divisors, whose sum is σ = 2720837433600. Its totient is φ = 212731453440.

The previous prime is 785631385717. The next prime is 785631385739. The reversal of 785631385728 is 827583136587.

785631385728 is a `hidden beast` number, since 7 + 8 + 56 + 3 + 1 + 3 + 8 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (785631385717) and next prime (785631385739).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20197018 + ... + 20235878.

It is an arithmetic number, because the mean of its divisors is an integer number (7085514150).

Almost surely, 2^785631385728 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 785631385728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360418716800).

785631385728 is an abundant number, since it is smaller than the sum of its proper divisors (1935206047872).

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

785631385728 is a wasteful number, since it uses less digits than its factorization.

785631385728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39020 (or 39005 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 785631385728 in words is "seven hundred eighty-five billion, six hundred thirty-one million, three hundred eighty-five thousand, seven hundred twenty-eight".