83008800 has 432 divisors, whose sum is σ = 352602432. Its totient is φ = 18662400.

The previous prime is 83008789. The next prime is 83008837. The reversal of 83008800 is 880038.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360770 + ... + 1360830.

Almost surely, 2^83008800 is an apocalyptic number.

83008800 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 83008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

83008800 is an abundant number, since it is smaller than the sum of its proper divisors (269593632).

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

83008800 is a wasteful number, since it uses less digits than its factorization.

83008800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

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

The square root of 83008800 is about 9110.9165290875. The cubic root of 83008800 is about 436.2224827541. Note that the first 3 decimals are identical.

Adding to 83008800 its reverse (880038), we get a palindrome (83888838).

The spelling of 83008800 in words is "eighty-three million, eight thousand, eight hundred".