78216063687600 has 960 divisors, whose sum is σ = 288093700823040. Its totient is φ = 18020615782400.

The previous prime is 78216063687539. The next prime is 78216063687637. The reversal of 78216063687600 is 678636061287.

It is a super-2 number, since 2×78216063687600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2272318390 + ... + 2272352810.

It is an arithmetic number, because the mean of its divisors is an integer number (300097605024).

Almost surely, 2^{78216063687600} 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 78216063687600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144046850411520).

78216063687600 is an abundant number, since it is smaller than the sum of its proper divisors (209877637135440).

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

78216063687600 is a wasteful number, since it uses less digits than its factorization.

78216063687600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34678 (or 34667 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

The spelling of 78216063687600 in words is "seventy-eight trillion, two hundred sixteen billion, sixty-three million, six hundred eighty-seven thousand, six hundred".