78434530720 has 192 divisors, whose sum is σ = 229469587200. Its totient is φ = 24670199808.

The previous prime is 78434530717. The next prime is 78434530729. The reversal of 78434530720 is 2703543487.

It is not an unprimeable number, because it can be changed into a prime (78434530729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2356756 + ... + 2389804.

It is an arithmetic number, because the mean of its divisors is an integer number (1195154100).

Almost surely, 2^78434530720 is an apocalyptic number.

78434530720 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 78434530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114734793600).

78434530720 is an abundant number, since it is smaller than the sum of its proper divisors (151035056480).

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

78434530720 is a wasteful number, since it uses less digits than its factorization.

78434530720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33247 (or 33239 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 78434530720 in words is "seventy-eight billion, four hundred thirty-four million, five hundred thirty thousand, seven hundred twenty".