78996943872 has 1584 divisors, whose sum is σ = 326178478080. Its totient is φ = 18811699200.

The previous prime is 78996943849. The next prime is 78996943877. The reversal of 78996943872 is 27834969987.

78996943872 is a `hidden beast` number, since 78 + 9 + 96 + 94 + 387 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×78996943872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 78996943872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78996943877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2548288497 + ... + 2548288527.

Almost surely, 2^78996943872 is an apocalyptic number.

78996943872 is a gapful number since it is divisible by the number (72) 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 78996943872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163089239040).

78996943872 is an abundant number, since it is smaller than the sum of its proper divisors (247181534208).

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

78996943872 is a wasteful number, since it uses less digits than its factorization.

78996943872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 73 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 78996943872 in words is "seventy-eight billion, nine hundred ninety-six million, nine hundred forty-three thousand, eight hundred seventy-two".