78385968 has 60 divisors (see below), whose sum is σ = 227508008. Its totient is φ = 26127360.

The previous prime is 78385939. The next prime is 78385969. The reversal of 78385968 is 86958387.

It is a happy number.

It is a super-2 number, since 2×78385968² = 12288719958594048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (78385969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6193 + ... + 13968.

Almost surely, 2^78385968 is an apocalyptic number.

It is an amenable number.

78385968 is an abundant number, since it is smaller than the sum of its proper divisors (149122040).

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

78385968 is a wasteful number, since it uses less digits than its factorization.

78385968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20184 (or 20166 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 78385968 is about 8853.5850365826. The cubic root of 78385968 is about 427.9694565795.

The spelling of 78385968 in words is "seventy-eight million, three hundred eighty-five thousand, nine hundred sixty-eight".