83000080 has 40 divisors (see below), whose sum is σ = 194409432. Its totient is φ = 32953344.

The previous prime is 83000041. The next prime is 83000101. The reversal of 83000080 is 8000038.

It can be written as a sum of positive squares in 4 ways, for example, as 37356544 + 45643536 = 6112^2 + 6756^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7174 + ... + 14746.

Almost surely, 2^83000080 is an apocalyptic number.

83000080 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 83000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97204716).

83000080 is an abundant number, since it is smaller than the sum of its proper divisors (111409352).

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

83000080 is a wasteful number, since it uses less digits than its factorization.

83000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7717 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 83000080 is about 9110.4379697136. The cubic root of 83000080 is about 436.2072072923.

The spelling of 83000080 in words is "eighty-three million, eighty", and thus it is an aban number and an uban number.