83808000 has 288 divisors, whose sum is σ = 312486720. Its totient is φ = 22118400.

The previous prime is 83807963. The next prime is 83808041. The reversal of 83808000 is 80838.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863952 + ... + 864048.

Almost surely, 2^83808000 is an apocalyptic number.

83808000 is a gapful number since it is divisible by the number (80) 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 83808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156243360).

83808000 is an abundant number, since it is smaller than the sum of its proper divisors (228678720).

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

83808000 is an equidigital number, since it uses as much as digits as its factorization.

83808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 83808000 is about 9154.6709389251. The cubic root of 83808000 is about 437.6179817861.

Adding to 83808000 its reverse (80838), we get a palindrome (83888838).

The spelling of 83808000 in words is "eighty-three million, eight hundred eight thousand".