78536304 has 200 divisors, whose sum is σ = 283755648. Its totient is φ = 20373120.

The previous prime is 78536239. The next prime is 78536309. The reversal of 78536304 is 40363587.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78536309) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99399 + ... + 100185.

Almost surely, 2^78536304 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 78536304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141877824).

78536304 is an abundant number, since it is smaller than the sum of its proper divisors (205219344).

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

78536304 is a wasteful number, since it uses less digits than its factorization.

78536304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 78536304 is about 8862.0710897623. The cubic root of 78536304 is about 428.2428819119.

The spelling of 78536304 in words is "seventy-eight million, five hundred thirty-six thousand, three hundred four".