78768144 has 120 divisors (see below), whose sum is σ = 271357632. Its totient is φ = 20770560.

The previous prime is 78768113. The next prime is 78768149. The reversal of 78768144 is 44186787.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 78768144.

It is not an unprimeable number, because it can be changed into a prime (78768149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10099 + ... + 16109.

Almost surely, 2^78768144 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 78768144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135678816).

78768144 is an abundant number, since it is smaller than the sum of its proper divisors (192589488).

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

78768144 is a wasteful number, since it uses less digits than its factorization.

78768144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6045 (or 6036 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 78768144 is about 8875.1419143583. The cubic root of 78768144 is about 428.6638604443.

The spelling of 78768144 in words is "seventy-eight million, seven hundred sixty-eight thousand, one hundred forty-four".