78216390945 has 192 divisors, whose sum is σ = 178723584000. Its totient is φ = 30656517120.

The previous prime is 78216390943. The next prime is 78216390977. The reversal of 78216390945 is 54909361287.

It is not a de Polignac number, because 78216390945 - 2¹ = 78216390943 is a prime.

It is a super-2 number, since 2×78216390945² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78216390891 and 78216390900.

It is not an unprimeable number, because it can be changed into a prime (78216390943) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15337006 + ... + 15342104.

It is an arithmetic number, because the mean of its divisors is an integer number (930852000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅78216390945 = 156432781890, but 3⋅78216390945 = 234649172835 is not.

Almost surely, 2^78216390945 is an apocalyptic number.

78216390945 is the 161469-th octagonal number.

It is an amenable number.

78216390945 is an abundant number, since it is smaller than the sum of its proper divisors (100507193055).

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

78216390945 is a wasteful number, since it uses less digits than its factorization.

78216390945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 78216390945 in words is "seventy-eight billion, two hundred sixteen million, three hundred ninety thousand, nine hundred forty-five".