78130936800 has 1152 divisors, whose sum is σ = 339178291200. Its totient is φ = 16982784000.

The previous prime is 78130936799. The next prime is 78130936843. The reversal of 78130936800 is 863903187.

It is a happy number.

It is a super-2 number, since 2×78130936800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370288695 + ... + 370288905.

It is an arithmetic number, because the mean of its divisors is an integer number (294425600).

Almost surely, 2^78130936800 is an apocalyptic number.

78130936800 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 78130936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169589145600).

78130936800 is an abundant number, since it is smaller than the sum of its proper divisors (261047354400).

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

78130936800 is a wasteful number, since it uses less digits than its factorization.

78130936800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 78130936800 in words is "seventy-eight billion, one hundred thirty million, nine hundred thirty-six thousand, eight hundred".