78156112320 has 1344 divisors, whose sum is σ = 339977723904. Its totient is φ = 16203939840.

The previous prime is 78156112259. The next prime is 78156112327. The reversal of 78156112320 is 2321165187.

78156112320 is a `hidden beast` number, since 7 + 8 + 1 + 5 + 611 + 2 + 32 + 0 = 666.

It is a super-2 number, since 2×78156112320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78156112327) 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, 350475729 + ... + 350475951.

It is an arithmetic number, because the mean of its divisors is an integer number (252959616).

Almost surely, 2^78156112320 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 78156112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169988861952).

78156112320 is an abundant number, since it is smaller than the sum of its proper divisors (261821611584).

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

78156112320 is a wasteful number, since it uses less digits than its factorization.

78156112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

It can be divided in two parts, 781561 and 12320, that added together give a square (793881 = 891²).

The spelling of 78156112320 in words is "seventy-eight billion, one hundred fifty-six million, one hundred twelve thousand, three hundred twenty".