78669120 has 168 divisors, whose sum is σ = 264773664. Its totient is φ = 19786752.

The previous prime is 78669113. The next prime is 78669127. The reversal of 78669120 is 2196687.

It is an interprime number because it is at equal distance from previous prime (78669113) and next prime (78669127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78669127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346447 + ... + 346673.

Almost surely, 2^78669120 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 78669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132386832).

78669120 is an abundant number, since it is smaller than the sum of its proper divisors (186104544).

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

78669120 is a wasteful number, since it uses less digits than its factorization.

78669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 78669120 is about 8869.5614322243. The cubic root of 78669120 is about 428.4841523866.

The spelling of 78669120 in words is "seventy-eight million, six hundred sixty-nine thousand, one hundred twenty".