786445968 has 160 divisors (see below), whose sum is σ = 2544122880. Its totient is φ = 203374080.

The previous prime is 786445951. The next prime is 786445973. The reversal of 786445968 is 869544687.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1437471 + ... + 1438017.

It is an arithmetic number, because the mean of its divisors is an integer number (15900768).

Almost surely, 2^786445968 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 786445968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272061440).

786445968 is an abundant number, since it is smaller than the sum of its proper divisors (1757676912).

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

786445968 is a wasteful number, since it uses less digits than its factorization.

786445968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 959 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 786445968 is about 28043.6439857591. The cubic root of 786445968 is about 923.0451897382.

The spelling of 786445968 in words is "seven hundred eighty-six million, four hundred forty-five thousand, nine hundred sixty-eight".