78849573120 has 648 divisors, whose sum is σ = 291466407960. Its totient is φ = 20424130560.

The previous prime is 78849573083. The next prime is 78849573151. The reversal of 78849573120 is 2137594887.

It is a happy number.

78849573120 is a `hidden beast` number, since 7 + 8 + 8 + 49 + 573 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6879707136 + 71969865984 = 82944^2 + 268272^2 .

It is a tau number, because it is divible by the number of its divisors (648).

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

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 71 ways as a sum of consecutive naturals, for example, 344321166 + ... + 344321394.

Almost surely, 2^78849573120 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 78849573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145733203980).

78849573120 is an abundant number, since it is smaller than the sum of its proper divisors (212616834840).

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

78849573120 is an frugal number, since it uses more digits than its factorization.

78849573120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 78849573120 in words is "seventy-eight billion, eight hundred forty-nine million, five hundred seventy-three thousand, one hundred twenty".