78041779200 has 1584 divisors, whose sum is σ = 359225508096. Its totient is φ = 15718809600.

The previous prime is 78041779187. The next prime is 78041779223. The reversal of 78041779200 is 297714087.

It is a happy number.

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

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 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, 940262359 + ... + 940262441.

Almost surely, 2^78041779200 is an apocalyptic number.

78041779200 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 78041779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179612754048).

78041779200 is an abundant number, since it is smaller than the sum of its proper divisors (281183728896).

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

78041779200 is a wasteful number, since it uses less digits than its factorization.

78041779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 78041779200 in words is "seventy-eight billion, forty-one million, seven hundred seventy-nine thousand, two hundred".