82775280 has 160 divisors (see below), whose sum is σ = 303552000. Its totient is φ = 18256896.

The previous prime is 82775237. The next prime is 82775281. The reversal of 82775280 is 8257728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82775281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47871 + ... + 49569.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^82775280 is an apocalyptic number.

82775280 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 82775280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151776000).

82775280 is an abundant number, since it is smaller than the sum of its proper divisors (220776720).

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

82775280 is a wasteful number, since it uses less digits than its factorization.

82775280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 82775280 is about 9098.0921076894. The cubic root of 82775280 is about 435.8130388261.

The spelling of 82775280 in words is "eighty-two million, seven hundred seventy-five thousand, two hundred eighty".