78909120 has 112 divisors (see below), whose sum is σ = 278404320. Its totient is φ = 21040128.

The previous prime is 78909119. The next prime is 78909139. The reversal of 78909120 is 2190987.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4074 + ... + 13206.

Almost surely, 2^78909120 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 78909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139202160).

78909120 is an abundant number, since it is smaller than the sum of its proper divisors (199495200).

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

78909120 is a wasteful number, since it uses less digits than its factorization.

78909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9143 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 78909120 is about 8883.0805467473. The cubic root of 78909120 is about 428.9194430383.

The spelling of 78909120 in words is "seventy-eight million, nine hundred nine thousand, one hundred twenty".