78688800 has 144 divisors (see below), whose sum is σ = 284669280. Its totient is φ = 20977920.

The previous prime is 78688789. The next prime is 78688829. The reversal of 78688800 is 888687.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 19779 + ... + 23421.

It is an arithmetic number, because the mean of its divisors is an integer number (1976870).

Almost surely, 2^78688800 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 78688800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142334640).

78688800 is an abundant number, since it is smaller than the sum of its proper divisors (205980480).

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

78688800 is a wasteful number, since it uses less digits than its factorization.

78688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3653 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 78688800 is about 8870.6707750880. The cubic root of 78688800 is about 428.5198795142.

The spelling of 78688800 in words is "seventy-eight million, six hundred eighty-eight thousand, eight hundred".