78768655738320 has 80 divisors (see below), whose sum is σ = 245546982826560. Its totient is φ = 20887628623872.

The previous prime is 78768655738303. The next prime is 78768655738327. The reversal of 78768655738320 is 2383755686787.

78768655738320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×78768655738320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78768655738327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916724449 + ... + 916810368.

It is an arithmetic number, because the mean of its divisors is an integer number (3069337285332).

Almost surely, 2^{78768655738320} is an apocalyptic number.

It is an amenable number.

78768655738320 is an abundant number, since it is smaller than the sum of its proper divisors (166778327088240).

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

78768655738320 is a wasteful number, since it uses less digits than its factorization.

78768655738320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833535012 (or 1833535006 counting only the distinct ones).

The product of its (nonzero) digits is 2844979200, while the sum is 75.

The spelling of 78768655738320 in words is "seventy-eight trillion, seven hundred sixty-eight billion, six hundred fifty-five million, seven hundred thirty-eight thousand, three hundred twenty".