78768105840 has 120 divisors (see below), whose sum is σ = 273062844288. Its totient is φ = 20327247360.

The previous prime is 78768105827. The next prime is 78768105851. The reversal of 78768105840 is 4850186787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 1742199 + ... + 1786838.

Almost surely, 2^78768105840 is an apocalyptic number.

It is an amenable number.

78768105840 is an abundant number, since it is smaller than the sum of its proper divisors (194294738448).

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

78768105840 is a wasteful number, since it uses less digits than its factorization.

78768105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529087 (or 3529078 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 78768105840 in words is "seventy-eight billion, seven hundred sixty-eight million, one hundred five thousand, eight hundred forty".