776935971968 has 120 divisors (see below), whose sum is σ = 1680426285765. Its totient is φ = 357807989760.

The previous prime is 776935971923. The next prime is 776935971989. The reversal of 776935971968 is 869179539677.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 524859678784 + 252076293184 = 724472^2 + 502072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=623272.

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 1685327258 + ... + 1685327718.

Almost surely, 2^776935971968 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 776935971968

776935971968 is an abundant number, since it is smaller than the sum of its proper divisors (903490313797).

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

776935971968 is an frugal number, since it uses more digits than its factorization.

776935971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 476 counting only the distinct ones).

The product of its digits is 1080203040, while the sum is 77.

The spelling of 776935971968 in words is "seven hundred seventy-six billion, nine hundred thirty-five million, nine hundred seventy-one thousand, nine hundred sixty-eight".