78693120000 has 1440 divisors, whose sum is σ = 335273178240. Its totient is φ = 18247680000.

The previous prime is 78693119987. The next prime is 78693120007. The reversal of 78693120000 is 2139687.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (78693120007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3421439989 + ... + 3421440011.

It is an arithmetic number, because the mean of its divisors is an integer number (232828596).

Almost surely, 2^78693120000 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 78693120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167636589120).

78693120000 is an abundant number, since it is smaller than the sum of its proper divisors (256580058240).

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

78693120000 is an equidigital number, since it uses as much as digits as its factorization.

78693120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 78693120000 its reverse (2139687), we get a palindrome (78695259687).

The spelling of 78693120000 in words is "seventy-eight billion, six hundred ninety-three million, one hundred twenty thousand".