78201328128 has 720 divisors, whose sum is σ = 275966836992. Its totient is φ = 19585843200.

The previous prime is 78201328099. The next prime is 78201328129. The reversal of 78201328128 is 82182310287.

It is a super-2 number, since 2×78201328128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 78201328128.

It is not an unprimeable number, because it can be changed into a prime (78201328129) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282315126 + ... + 282315402.

Almost surely, 2^78201328128 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 78201328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137983418496).

78201328128 is an abundant number, since it is smaller than the sum of its proper divisors (197765508864).

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

78201328128 is a wasteful number, since it uses less digits than its factorization.

78201328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 78201328128 in words is "seventy-eight billion, two hundred one million, three hundred twenty-eight thousand, one hundred twenty-eight".