1006768782 has 24 divisors (see below), whose sum is σ = 2212058160. Its totient is φ = 330862560.

The previous prime is 1006768771. The next prime is 1006768783. The reversal of 1006768782 is 2878676001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006768783) 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 11 ways as a sum of consecutive naturals, for example, 392607 + ... + 395162.

It is an arithmetic number, because the mean of its divisors is an integer number (92169090).

Almost surely, 2^1006768782 is an apocalyptic number.

1006768782 is an abundant number, since it is smaller than the sum of its proper divisors (1205289378).

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

1006768782 is a wasteful number, since it uses less digits than its factorization.

1006768782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787848 (or 787845 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1006768782 is about 31729.6199472985. The cubic root of 1006768782 is about 1002.2511890118.

The spelling of 1006768782 in words is "one billion, six million, seven hundred sixty-eight thousand, seven hundred eighty-two".