83055280 has 160 divisors (see below), whose sum is σ = 244984320. Its totient is φ = 25436160.

The previous prime is 83055253. The next prime is 83055281. The reversal of 83055280 is 8255038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83055281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 597451 + ... + 597589.

It is an arithmetic number, because the mean of its divisors is an integer number (1531152).

Almost surely, 2^83055280 is an apocalyptic number.

83055280 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 83055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122492160).

83055280 is an abundant number, since it is smaller than the sum of its proper divisors (161929040).

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

83055280 is a wasteful number, since it uses less digits than its factorization.

83055280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 83055280 is about 9113.4669582986. The cubic root of 83055280 is about 436.3038871264.

The spelling of 83055280 in words is "eighty-three million, fifty-five thousand, two hundred eighty".