78906885120 has 528 divisors, whose sum is σ = 319791838080. Its totient is φ = 17613324288.

The previous prime is 78906885119. The next prime is 78906885133. The reversal of 78906885120 is 2158860987.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13867236 + ... + 13872924.

It is an arithmetic number, because the mean of its divisors is an integer number (605666360).

Almost surely, 2^78906885120 is an apocalyptic number.

78906885120 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 78906885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159895919040).

78906885120 is an abundant number, since it is smaller than the sum of its proper divisors (240884952960).

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

78906885120 is a wasteful number, since it uses less digits than its factorization.

78906885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5749 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 78906885120 in words is "seventy-eight billion, nine hundred six million, eight hundred eighty-five thousand, one hundred twenty".