786660768 has 192 divisors, whose sum is σ = 2400451200. Its totient is φ = 250398720.

The previous prime is 786660751. The next prime is 786660779. The reversal of 786660768 is 867066687.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877263 + ... + 1877681.

It is an arithmetic number, because the mean of its divisors is an integer number (12502350).

Almost surely, 2^786660768 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 786660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200225600).

786660768 is an abundant number, since it is smaller than the sum of its proper divisors (1613790432).

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

786660768 is a wasteful number, since it uses less digits than its factorization.

786660768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 786660768 is about 28047.4734691023. The cubic root of 786660768 is about 923.1292184219.

The spelling of 786660768 in words is "seven hundred eighty-six million, six hundred sixty thousand, seven hundred sixty-eight".