78531704832 has 288 divisors, whose sum is σ = 243018921600. Its totient is φ = 22091366400.

The previous prime is 78531704791. The next prime is 78531704891. The reversal of 78531704832 is 23840713587.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438724519 + ... + 438724697.

It is an arithmetic number, because the mean of its divisors is an integer number (843815700).

Almost surely, 2^78531704832 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 78531704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121509460800).

78531704832 is an abundant number, since it is smaller than the sum of its proper divisors (164487216768).

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

78531704832 is a wasteful number, since it uses less digits than its factorization.

78531704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 78531704832 in words is "seventy-eight billion, five hundred thirty-one million, seven hundred four thousand, eight hundred thirty-two".