73808 has 20 divisors (see below), whose sum is σ = 163680. Its totient is φ = 31584.

The previous prime is 73783. The next prime is 73819. The reversal of 73808 is 80837.

It is a congruent number.

It is an unprimeable number.

73808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 218 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (8184).

2⁷³⁸⁰⁸ is an apocalyptic number.

It is an amenable number.

73808 is an abundant number, since it is smaller than the sum of its proper divisors (89872).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

73808 is a wasteful number, since it uses less digits than its factorization.

73808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 73808 is about 271.6762779486. The cubic root of 73808 is about 41.9470231527.

The spelling of 73808 in words is "seventy-three thousand, eight hundred eight".