78833329344 has 504 divisors, whose sum is σ = 296035024896. Its totient is φ = 19813248000.

The previous prime is 78833329327. The next prime is 78833329349. The reversal of 78833329344 is 44392333887.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (78833329349) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9620289 + ... + 9628479.

Almost surely, 2^78833329344 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 78833329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148017512448).

78833329344 is an abundant number, since it is smaller than the sum of its proper divisors (217201695552).

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

78833329344 is a wasteful number, since it uses less digits than its factorization.

78833329344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8245 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 78833329344 in words is "seventy-eight billion, eight hundred thirty-three million, three hundred twenty-nine thousand, three hundred forty-four".