78315307351680 has 256 divisors, whose sum is σ = 285407240693760. Its totient is φ = 17893378068480.

The previous prime is 78315307351679. The next prime is 78315307351739. The reversal of 78315307351680 is 8615370351387.

It is a super-2 number, since 2×78315307351680² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78315307351680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31975485 + ... + 34337475.

It is an arithmetic number, because the mean of its divisors is an integer number (1114872033960).

Almost surely, 2^{78315307351680} is an apocalyptic number.

78315307351680 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 78315307351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142703620346880).

78315307351680 is an abundant number, since it is smaller than the sum of its proper divisors (207091933342080).

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

78315307351680 is a wasteful number, since it uses less digits than its factorization.

78315307351680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364487 (or 2364475 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 78315307351680 in words is "seventy-eight trillion, three hundred fifteen billion, three hundred seven million, three hundred fifty-one thousand, six hundred eighty".