78832746720 has 1536 divisors, whose sum is σ = 357898383360. Its totient is φ = 15765995520.

The previous prime is 78832746673. The next prime is 78832746739. The reversal of 78832746720 is 2764723887.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1079900604 + ... + 1079900676.

It is an arithmetic number, because the mean of its divisors is an integer number (233006760).

Almost surely, 2^78832746720 is an apocalyptic number.

78832746720 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 78832746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178949191680).

78832746720 is an abundant number, since it is smaller than the sum of its proper divisors (279065636640).

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

78832746720 is a wasteful number, since it uses less digits than its factorization.

78832746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 78832746720 in words is "seventy-eight billion, eight hundred thirty-two million, seven hundred forty-six thousand, seven hundred twenty".