78966120 has 32 divisors (see below), whose sum is σ = 236898720. Its totient is φ = 21057600.

The previous prime is 78966113. The next prime is 78966127. The reversal of 78966120 is 2166987.

It is an interprime number because it is at equal distance from previous prime (78966113) and next prime (78966127).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (78966127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328906 + ... + 329145.

It is an arithmetic number, because the mean of its divisors is an integer number (7403085).

Almost surely, 2^78966120 is an apocalyptic number.

It is an amenable number.

78966120 is an abundant number, since it is smaller than the sum of its proper divisors (157932600).

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

78966120 is a wasteful number, since it uses less digits than its factorization.

78966120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658065 (or 658061 counting only the distinct ones).

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

The square root of 78966120 is about 8886.2883140263. The cubic root of 78966120 is about 429.0226948291.

The spelling of 78966120 in words is "seventy-eight million, nine hundred sixty-six thousand, one hundred twenty".