78594336 has 144 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 24261120.

The previous prime is 78594323. The next prime is 78594337. The reversal of 78594336 is 63349587.

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

It is a junction number, because it is equal to n+sod(n) for n = 78594291 and 78594300.

It is not an unprimeable number, because it can be changed into a prime (78594337) 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, 289881 + ... + 290151.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^78594336 is an apocalyptic number.

78594336 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78594336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

78594336 is an abundant number, since it is smaller than the sum of its proper divisors (161995104).

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

78594336 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (78594335) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (359).

78594336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 348 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 78594336 is about 8865.3446633507. The cubic root of 78594336 is about 428.3483349360.

The spelling of 78594336 in words is "seventy-eight million, five hundred ninety-four thousand, three hundred thirty-six".