78670725120 has 912 divisors, whose sum is σ = 320611986240. Its totient is φ = 18345885696.

The previous prime is 78670725073. The next prime is 78670725127. The reversal of 78670725120 is 2152707687.

78670725120 is a `hidden beast` number, since 7 + 8 + 67 + 0 + 72 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78670725127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4140564471 + ... + 4140564489.

Almost surely, 2^78670725120 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 78670725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160305993120).

78670725120 is an abundant number, since it is smaller than the sum of its proper divisors (241941261120).

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

78670725120 is an frugal number, since it uses more digits than its factorization.

78670725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 78670725120 in words is "seventy-eight billion, six hundred seventy million, seven hundred twenty-five thousand, one hundred twenty".