782768077002 has 24 divisors (see below), whose sum is σ = 1696112005536. Its totient is φ = 260905076136.

The previous prime is 782768076991. The next prime is 782768077033. The reversal of 782768077002 is 200770867287.

It is a happy number.

It is a super-2 number, since 2×782768077002² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 782768077002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192608 + ... + 1728539.

It is an arithmetic number, because the mean of its divisors is an integer number (70671333564).

Almost surely, 2^782768077002 is an apocalyptic number.

782768077002 is an abundant number, since it is smaller than the sum of its proper divisors (913343928534).

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

782768077002 is a wasteful number, since it uses less digits than its factorization.

782768077002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936042 (or 2936039 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 782768077002 in words is "seven hundred eighty-two billion, seven hundred sixty-eight million, seventy-seven thousand, two".