83080008 has 96 divisors (see below), whose sum is σ = 258429600. Its totient is φ = 23846400.

The previous prime is 83079961. The next prime is 83080009. The reversal of 83080008 is 80008038.

It is not an unprimeable number, because it can be changed into a prime (83080009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12288 + ... + 17808.

It is an arithmetic number, because the mean of its divisors is an integer number (2691975).

Almost surely, 2^83080008 is an apocalyptic number.

83080008 is a gapful number since it is divisible by the number (88) 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 83080008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129214800).

83080008 is an abundant number, since it is smaller than the sum of its proper divisors (175349592).

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

83080008 is a wasteful number, since it uses less digits than its factorization.

83080008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5556 counting only the distinct ones).

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

The square root of 83080008 is about 9114.8235309303. The cubic root of 83080008 is about 436.3471829970.

The spelling of 83080008 in words is "eighty-three million, eighty thousand, eight".