83332080 has 240 divisors, whose sum is σ = 312792480. Its totient is φ = 19740672.

The previous prime is 83332069. The next prime is 83332087. The reversal of 83332080 is 8023338.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83332087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271287 + ... + 271593.

It is an arithmetic number, because the mean of its divisors is an integer number (1303302).

Almost surely, 2^83332080 is an apocalyptic number.

83332080 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 83332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156396240).

83332080 is an abundant number, since it is smaller than the sum of its proper divisors (229460400).

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

83332080 is a wasteful number, since it uses less digits than its factorization.

83332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 83332080 is about 9128.6406436008. The cubic root of 83332080 is about 436.7880425821.

The spelling of 83332080 in words is "eighty-three million, three hundred thirty-two thousand, eighty".