78818120 has 64 divisors (see below), whose sum is σ = 193881600. Its totient is φ = 28707840.

The previous prime is 78818119. The next prime is 78818123. The reversal of 78818120 is 2181887.

It is not an unprimeable number, because it can be changed into a prime (78818123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19211 + ... + 22949.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 2^78818120 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 78818120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

78818120 is an abundant number, since it is smaller than the sum of its proper divisors (115063480).

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

78818120 is a wasteful number, since it uses less digits than its factorization.

78818120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 35.

The square root of 78818120 is about 8877.9569721868. The cubic root of 78818120 is about 428.7544993535.

The spelling of 78818120 in words is "seventy-eight million, eight hundred eighteen thousand, one hundred twenty".