83335280 has 80 divisors (see below), whose sum is σ = 226027200. Its totient is φ = 28562688.

The previous prime is 83335229. The next prime is 83335313. The reversal of 83335280 is 8253338.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25922 + ... + 28958.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 2^83335280 is an apocalyptic number.

83335280 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 83335280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113013600).

83335280 is an abundant number, since it is smaller than the sum of its proper divisors (142691920).

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

83335280 is a wasteful number, since it uses less digits than its factorization.

83335280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 83335280 is about 9128.8159144546. The cubic root of 83335280 is about 436.7936334816.

The spelling of 83335280 in words is "eighty-three million, three hundred thirty-five thousand, two hundred eighty".