78691078972800 has 2304 divisors, whose sum is σ = 356375390515200. Its totient is φ = 16849151262720.

The previous prime is 78691078972769. The next prime is 78691078972853. The reversal of 78691078972800 is 827987019687.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16049575149 + ... + 16049580051.

It is an arithmetic number, because the mean of its divisors is an integer number (154676818800).

Almost surely, 2^{78691078972800} is an apocalyptic number.

78691078972800 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 78691078972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178187695257600).

78691078972800 is an abundant number, since it is smaller than the sum of its proper divisors (277684311542400).

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

78691078972800 is a wasteful number, since it uses less digits than its factorization.

78691078972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 78691078972800 in words is "seventy-eight trillion, six hundred ninety-one billion, seventy-eight million, nine hundred seventy-two thousand, eight hundred".