78768960 has 56 divisors (see below), whose sum is σ = 250094496. Its totient is φ = 21004800.

The previous prime is 78768917. The next prime is 78768961. The reversal of 78768960 is 6986787.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78768961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40066 + ... + 41985.

Almost surely, 2^78768960 is an apocalyptic number.

It is an amenable number.

78768960 is an abundant number, since it is smaller than the sum of its proper divisors (171325536).

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

78768960 is a wasteful number, since it uses less digits than its factorization.

78768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82071 (or 82061 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 78768960 is about 8875.1878853352. The cubic root of 78768960 is about 428.6653406895.

It can be divided in two parts, 7876 and 8960, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 78768960 in words is "seventy-eight million, seven hundred sixty-eight thousand, nine hundred sixty".