78532166328 has 576 divisors, whose sum is σ = 273061555200. Its totient is φ = 18681062400.

The previous prime is 78532166291. The next prime is 78532166329. The reversal of 78532166328 is 82366123587.

It is a happy number.

It is a super-2 number, since 2×78532166328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78532166329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83811876 + ... + 83812812.

It is an arithmetic number, because the mean of its divisors is an integer number (474065200).

Almost surely, 2^78532166328 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 78532166328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136530777600).

78532166328 is an abundant number, since it is smaller than the sum of its proper divisors (194529388872).

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

78532166328 is a wasteful number, since it uses less digits than its factorization.

78532166328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1010 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 78532166328 in words is "seventy-eight billion, five hundred thirty-two million, one hundred sixty-six thousand, three hundred twenty-eight".