777768 has 32 divisors (see below), whose sum is σ = 2030400. Its totient is φ = 247808.

The previous prime is 777761. The next prime is 777769. The reversal of 777768 is 867777.

It is not an unprimeable number, because it can be changed into a prime (777761) by changing a digit.

777768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 153 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (63450).

2⁷⁷⁷⁷⁶⁸ 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 777768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015200).

777768 is an abundant number, since it is smaller than the sum of its proper divisors (1252632).

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

777768 is a wasteful number, since it uses less digits than its factorization.

777768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441 (or 1437 counting only the distinct ones).

The product of its digits is 115248, while the sum is 42.

The square root of 777768 is about 881.9115601918. The cubic root of 777768 is about 91.9637538376.

Subtracting 777768 from its reverse (867777), we obtain a palindrome (90009).

The spelling of 777768 in words is "seven hundred seventy-seven thousand, seven hundred sixty-eight".