78109012800 has 1680 divisors, whose sum is σ = 364942892160. Its totient is φ = 15945154560.

The previous prime is 78109012781. The next prime is 78109012829. The reversal of 78109012800 is 821090187.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×78109012800³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 436363111 + ... + 436363289.

It is an arithmetic number, because the mean of its divisors is an integer number (217227912).

Almost surely, 2^78109012800 is an apocalyptic number.

78109012800 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 78109012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182471446080).

78109012800 is an abundant number, since it is smaller than the sum of its proper divisors (286833879360).

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

78109012800 is a wasteful number, since it uses less digits than its factorization.

78109012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 78109012800 in words is "seventy-eight billion, one hundred nine million, twelve thousand, eight hundred".