83039880 has 384 divisors, whose sum is σ = 337075200. Its totient is φ = 15966720.

The previous prime is 83039819. The next prime is 83039881. The reversal of 83039880 is 8893038.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (83039881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931139 + ... + 1931181.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 2^83039880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83039880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168537600).

83039880 is an abundant number, since it is smaller than the sum of its proper divisors (254035320).

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

83039880 is a wasteful number, since it uses less digits than its factorization.

83039880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 83039880 is about 9112.6220156440. The cubic root of 83039880 is about 436.2769191633.

The spelling of 83039880 in words is "eighty-three million, thirty-nine thousand, eight hundred eighty".