73806768 has 80 divisors (see below), whose sum is σ = 242127360. Its totient is φ = 21086784.

The previous prime is 73806763. The next prime is 73806829. The reversal of 73806768 is 86760837.

It is not an unprimeable number, because it can be changed into a prime (73806763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9180 + ... + 15227.

It is an arithmetic number, because the mean of its divisors is an integer number (3026592).

Almost surely, 2^73806768 is an apocalyptic number.

It is an amenable number.

73806768 is an abundant number, since it is smaller than the sum of its proper divisors (168320592).

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

73806768 is a wasteful number, since it uses less digits than its factorization.

73806768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24431 (or 24419 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 73806768 is about 8591.0865436218. The cubic root of 73806768 is about 419.4678975871.

The spelling of 73806768 in words is "seventy-three million, eight hundred six thousand, seven hundred sixty-eight".