77901872768 has 64 divisors (see below), whose sum is σ = 167424968520. Its totient is φ = 35967959040.

The previous prime is 77901872723. The next prime is 77901872813. The reversal of 77901872768 is 86727810977.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (77901872723) and next prime (77901872813).

It can be written as a sum of positive squares in 4 ways, for example, as 77635791424 + 266081344 = 278632^2 + 16312^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 77901872768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222413 + ... + 453068.

Almost surely, 2^77901872768 is an apocalyptic number.

It is an amenable number.

77901872768 is an abundant number, since it is smaller than the sum of its proper divisors (89523095752).

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

77901872768 is a wasteful number, since it uses less digits than its factorization.

77901872768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675565 (or 675553 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 62.

The spelling of 77901872768 in words is "seventy-seven billion, nine hundred one million, eight hundred seventy-two thousand, seven hundred sixty-eight".