78912000 has 240 divisors, whose sum is σ = 286300872. Its totient is φ = 20889600.

The previous prime is 78911999. The next prime is 78912017. The reversal of 78912000 is 21987.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 52533504 = 5136^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575932 + ... + 576068.

Almost surely, 2^78912000 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 78912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143150436).

78912000 is an abundant number, since it is smaller than the sum of its proper divisors (207388872).

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

78912000 is a wasteful number, since it uses less digits than its factorization.

78912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78912000 is about 8883.2426511944. The cubic root of 78912000 is about 428.9246611634.

Adding to 78912000 its reverse (21987), we get a palindrome (78933987).

The spelling of 78912000 in words is "seventy-eight million, nine hundred twelve thousand".