83306080 has 144 divisors (see below), whose sum is σ = 233673552. Its totient is φ = 27878400.

The previous prime is 83306059. The next prime is 83306099. The reversal of 83306080 is 8060338.

83306080 = T₉₀ + T₉₁ + ... + T₇₉₃.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 251515 + ... + 251845.

It is an arithmetic number, because the mean of its divisors is an integer number (1622733).

Almost surely, 2^83306080 is an apocalyptic number.

83306080 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 83306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116836776).

83306080 is an abundant number, since it is smaller than the sum of its proper divisors (150367472).

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

83306080 is a wasteful number, since it uses less digits than its factorization.

83306080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 83306080 is about 9127.2164431441. The cubic root of 83306080 is about 436.7426112172.

The spelling of 83306080 in words is "eighty-three million, three hundred six thousand, eighty".