78900120 has 192 divisors, whose sum is σ = 288550080. Its totient is φ = 18551808.

The previous prime is 78900083. The next prime is 78900127. The reversal of 78900120 is 2100987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78900127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107274 + ... + 108006.

It is an arithmetic number, because the mean of its divisors is an integer number (1502865).

Almost surely, 2^78900120 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 78900120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144275040).

78900120 is an abundant number, since it is smaller than the sum of its proper divisors (209649960).

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

78900120 is a wasteful number, since it uses less digits than its factorization.

78900120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78900120 is about 8882.5739512824. The cubic root of 78900120 is about 428.9031355791.

The spelling of 78900120 in words is "seventy-eight million, nine hundred thousand, one hundred twenty".