78721413120 has 1248 divisors, whose sum is σ = 342612885888. Its totient is φ = 16307453952.

The previous prime is 78721413119. The next prime is 78721413143. The reversal of 78721413120 is 2131412787.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 811560912 + ... + 811561008.

It is an arithmetic number, because the mean of its divisors is an integer number (274529556).

Almost surely, 2^78721413120 is an apocalyptic number.

78721413120 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 78721413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171306442944).

78721413120 is an abundant number, since it is smaller than the sum of its proper divisors (263891472768).

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

78721413120 is a wasteful number, since it uses less digits than its factorization.

78721413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 78721413120 in words is "seventy-eight billion, seven hundred twenty-one million, four hundred thirteen thousand, one hundred twenty".