1077768407965 has 16 divisors (see below), whose sum is σ = 1370220531120. Its totient is φ = 811009889280.

The previous prime is 1077768407957. The next prime is 1077768408019. The reversal of 1077768407965 is 5697048677701.

1077768407965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 195692121 + 1077572715844 = 13989^2 + 1038062^2 .

It is not a de Polignac number, because 1077768407965 - 2³ = 1077768407957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1077768407965.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3656706 + ... + 3940435.

It is an arithmetic number, because the mean of its divisors is an integer number (85638783195).

Almost surely, 2^{1077768407965} is an apocalyptic number.

It is an amenable number.

1077768407965 is a deficient number, since it is larger than the sum of its proper divisors (292452123155).

1077768407965 is a wasteful number, since it uses less digits than its factorization.

1077768407965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7598832.

The product of its (nonzero) digits is 124467840, while the sum is 67.

The spelling of 1077768407965 in words is "one trillion, seventy-seven billion, seven hundred sixty-eight million, four hundred seven thousand, nine hundred sixty-five".