78608736 has 72 divisors (see below), whose sum is σ = 226666440. Its totient is φ = 25837056.

The previous prime is 78608711. The next prime is 78608741. The reversal of 78608736 is 63780687.

78608736 is a `hidden beast` number, since 7 + 8 + 608 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 78608691 and 78608700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19155 + ... + 22893.

It is an arithmetic number, because the mean of its divisors is an integer number (3148145).

Almost surely, 2^78608736 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 78608736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113333220).

78608736 is an abundant number, since it is smaller than the sum of its proper divisors (148057704).

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

78608736 is a wasteful number, since it uses less digits than its factorization.

78608736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 78608736 is about 8866.1567773190. The cubic root of 78608736 is about 428.3744939005.

The spelling of 78608736 in words is "seventy-eight million, six hundred eight thousand, seven hundred thirty-six".