82755280 has 40 divisors (see below), whose sum is σ = 193514400. Its totient is φ = 32911488.

The previous prime is 82755271. The next prime is 82755289. The reversal of 82755280 is 8255728.

It is an interprime number because it is at equal distance from previous prime (82755271) and next prime (82755289).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82755289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11431 + ... + 17209.

It is an arithmetic number, because the mean of its divisors is an integer number (4837860).

Almost surely, 2^82755280 is an apocalyptic number.

82755280 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 82755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96757200).

82755280 is an abundant number, since it is smaller than the sum of its proper divisors (110759120).

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

82755280 is a wasteful number, since it uses less digits than its factorization.

82755280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5971 (or 5965 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 82755280 is about 9096.9929097477. The cubic root of 82755280 is about 435.7779359030. Note that the first 3 decimals are identical.

The spelling of 82755280 in words is "eighty-two million, seven hundred fifty-five thousand, two hundred eighty".