78998198400 has 960 divisors, whose sum is σ = 322303924800. Its totient is φ = 18894643200.

The previous prime is 78998198393. The next prime is 78998198401. The reversal of 78998198400 is 489189987.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (78998198401) 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 119 ways as a sum of consecutive naturals, for example, 293673466 + ... + 293673734.

It is an arithmetic number, because the mean of its divisors is an integer number (335733255).

Almost surely, 2^78998198400 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 78998198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161151962400).

78998198400 is an abundant number, since it is smaller than the sum of its proper divisors (243305726400).

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

78998198400 is a wasteful number, since it uses less digits than its factorization.

78998198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

It can be divided in two parts, 789 and 98198400, that added together give a palindrome (98199189).

The spelling of 78998198400 in words is "seventy-eight billion, nine hundred ninety-eight million, one hundred ninety-eight thousand, four hundred".