78536304000 has 1280 divisors, whose sum is σ = 364122570240. Its totient is φ = 16298496000.

The previous prime is 78536303971. The next prime is 78536304019. The reversal of 78536304000 is 40363587.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99791607 + ... + 99792393.

It is an arithmetic number, because the mean of its divisors is an integer number (284470758).

Almost surely, 2^78536304000 is an apocalyptic number.

78536304000 is a gapful number since it is divisible by the number (70) 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 78536304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182061285120).

78536304000 is an abundant number, since it is smaller than the sum of its proper divisors (285586266240).

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

78536304000 is a wasteful number, since it uses less digits than its factorization.

78536304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 815 counting only the distinct ones).

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

Adding to 78536304000 its reverse (40363587), we get a palindrome (78576667587).

The spelling of 78536304000 in words is "seventy-eight billion, five hundred thirty-six million, three hundred four thousand".