785726064000 has 768 divisors, whose sum is σ = 2879311406400. Its totient is φ = 205302988800.

The previous prime is 785726063987. The next prime is 785726064017. The reversal of 785726064000 is 460627587.

785726064000 is a `hidden beast` number, since 78 + 572 + 6 + 0 + 6 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 1773647779 + ... + 1773648221.

Almost surely, 2^785726064000 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 785726064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439655703200).

785726064000 is an abundant number, since it is smaller than the sum of its proper divisors (2093585342400).

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

785726064000 is a wasteful number, since it uses less digits than its factorization.

785726064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 785726064000 in words is "seven hundred eighty-five billion, seven hundred twenty-six million, sixty-four thousand".