786073897728 has 576 divisors, whose sum is σ = 2718110545920. Its totient is φ = 219432665088.

The previous prime is 786073897639. The next prime is 786073897729. The reversal of 786073897728 is 827798370687.

786073897728 is a `hidden beast` number, since 7 + 8 + 607 + 3 + 8 + 9 + 7 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (786073897729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 812899101 + ... + 812900067.

It is an arithmetic number, because the mean of its divisors is an integer number (4718941920).

Almost surely, 2^786073897728 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 786073897728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359055272960).

786073897728 is an abundant number, since it is smaller than the sum of its proper divisors (1932036648192).

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

786073897728 is a wasteful number, since it uses less digits than its factorization.

786073897728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 398297088, while the sum is 72.

The spelling of 786073897728 in words is "seven hundred eighty-six billion, seventy-three million, eight hundred ninety-seven thousand, seven hundred twenty-eight".