785392444668 has 192 divisors, whose sum is σ = 2067588633600. Its totient is φ = 231746860800.

The previous prime is 785392444651. The next prime is 785392444691. The reversal of 785392444668 is 866444293587.

It is a junction number, because it is equal to n+sod(n) for n = 785392444599 and 785392444608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115444555 + ... + 115451357.

It is an arithmetic number, because the mean of its divisors is an integer number (10768690800).

Almost surely, 2^785392444668 is an apocalyptic number.

785392444668 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 785392444668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033794316800).

785392444668 is an abundant number, since it is smaller than the sum of its proper divisors (1282196188932).

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

785392444668 is a wasteful number, since it uses less digits than its factorization.

785392444668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7001 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 66.

The spelling of 785392444668 in words is "seven hundred eighty-five billion, three hundred ninety-two million, four hundred forty-four thousand, six hundred sixty-eight".