786106368 has 72 divisors (see below), whose sum is σ = 2270472750. Its totient is φ = 262029312.

The previous prime is 786106357. The next prime is 786106369. The reversal of 786106368 is 863601687.

786106368 is a `hidden beast` number, since 7 + 8 + 6 + 1 + 0 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 637461504 + 148644864 = 25248^2 + 12192^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (786106369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2893 + ... + 39756.

Almost surely, 2^786106368 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 786106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135236375).

786106368 is an abundant number, since it is smaller than the sum of its proper divisors (1484366382).

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

786106368 is a wasteful number, since it uses less digits than its factorization.

786106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42677 (or 42654 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 786106368 is about 28037.5884840334. The cubic root of 786106368 is about 922.9123086970.

The spelling of 786106368 in words is "seven hundred eighty-six million, one hundred six thousand, three hundred sixty-eight".