78752120832 has 864 divisors, whose sum is σ = 309035139840. Its totient is φ = 19251855360.

The previous prime is 78752120813. The next prime is 78752120851. The reversal of 78752120832 is 23802125787.

78752120832 is a `hidden beast` number, since 78 + 7 + 521 + 20 + 8 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (78752120813) and next prime (78752120851).

It is a tau number, because it is divible by the number of its divisors (864).

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 47 ways as a sum of consecutive naturals, for example, 4632477688 + ... + 4632477704.

It is an arithmetic number, because the mean of its divisors is an integer number (357679560).

Almost surely, 2^78752120832 is an apocalyptic number.

78752120832 is a gapful number since it is divisible by the number (72) 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 78752120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154517569920).

78752120832 is an abundant number, since it is smaller than the sum of its proper divisors (230283019008).

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

78752120832 is an equidigital number, since it uses as much as digits as its factorization.

78752120832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78752120832 in words is "seventy-eight billion, seven hundred fifty-two million, one hundred twenty thousand, eight hundred thirty-two".