82945280 has 144 divisors (see below), whose sum is σ = 223401024. Its totient is φ = 29245440.

The previous prime is 82945259. The next prime is 82945283. The reversal of 82945280 is 8254928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82945283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605372 + ... + 605508.

It is an arithmetic number, because the mean of its divisors is an integer number (1551396).

Almost surely, 2^82945280 is an apocalyptic number.

82945280 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 82945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111700512).

82945280 is an abundant number, since it is smaller than the sum of its proper divisors (140455744).

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

82945280 is a wasteful number, since it uses less digits than its factorization.

82945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 82945280 is about 9107.4299338507. The cubic root of 82945280 is about 436.1111856269. Note that the first 4 decimals are identical.

The spelling of 82945280 in words is "eighty-two million, nine hundred forty-five thousand, two hundred eighty".