73808000 has 128 divisors (see below), whose sum is σ = 210038400. Its totient is φ = 25267200.

The previous prime is 73807973. The next prime is 73808003. The reversal of 73808000 is 80837.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (73808003) 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, 111671 + ... + 112329.

It is an arithmetic number, because the mean of its divisors is an integer number (1640925).

Almost surely, 2^73808000 is an apocalyptic number.

73808000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105019200).

73808000 is an abundant number, since it is smaller than the sum of its proper divisors (136230400).

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

73808000 is an equidigital number, since it uses as much as digits as its factorization.

73808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 673 counting only the distinct ones).

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

The square root of 73808000 is about 8591.1582455452. The cubic root of 73808000 is about 419.4702315265.

Adding to 73808000 its reverse (80837), we get a palindrome (73888837).

The spelling of 73808000 in words is "seventy-three million, eight hundred eight thousand".