78573768 has 64 divisors (see below), whose sum is σ = 241772160. Its totient is φ = 20722176.

The previous prime is 78573763. The next prime is 78573787. The reversal of 78573768 is 86737587.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78573768.

It is not an unprimeable number, because it can be changed into a prime (78573763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15805 + ... + 20172.

It is an arithmetic number, because the mean of its divisors is an integer number (3777690).

Almost surely, 2^78573768 is an apocalyptic number.

78573768 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

78573768 is an abundant number, since it is smaller than the sum of its proper divisors (163198392).

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

78573768 is a wasteful number, since it uses less digits than its factorization.

78573768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36006 (or 36002 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 78573768 is about 8864.1845648655. The cubic root of 78573768 is about 428.3109656731.

The spelling of 78573768 in words is "seventy-eight million, five hundred seventy-three thousand, seven hundred sixty-eight".