78436368 has 90 divisors (see below), whose sum is σ = 233731134. Its totient is φ = 24470016.

The previous prime is 78436363. The next prime is 78436439. The reversal of 78436368 is 86363487.

78436368 is a `hidden beast` number, since 7 + 8 + 4 + 3 + 636 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73822464 + 4613904 = 8592^2 + 2148^2 .

It is not an unprimeable number, because it can be changed into a prime (78436363) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 438103 + ... + 438281.

Almost surely, 2^78436368 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 78436368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116865567).

78436368 is an abundant number, since it is smaller than the sum of its proper divisors (155294766).

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

78436368 is a wasteful number, since it uses less digits than its factorization.

78436368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 201 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 78436368 is about 8856.4308838267. The cubic root of 78436368 is about 428.0611610853.

The spelling of 78436368 in words is "seventy-eight million, four hundred thirty-six thousand, three hundred sixty-eight".