78734066380200 has 1536 divisors, whose sum is σ = 357068346163200. Its totient is φ = 15460308864000.

The previous prime is 78734066380183. The next prime is 78734066380201. The reversal of 78734066380200 is 208366043787.

78734066380200 is a `hidden beast` number, since 7 + 8 + 7 + 340 + 66 + 38 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78734066380201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 793712605 + ... + 793811795.

It is an arithmetic number, because the mean of its divisors is an integer number (232466371200).

Almost surely, 2^{78734066380200} is an apocalyptic number.

78734066380200 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 78734066380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178534173081600).

78734066380200 is an abundant number, since it is smaller than the sum of its proper divisors (278334279783000).

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

78734066380200 is a wasteful number, since it uses less digits than its factorization.

78734066380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99340 (or 99325 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 78734066380200 in words is "seventy-eight trillion, seven hundred thirty-four billion, sixty-six million, three hundred eighty thousand, two hundred".