82145280 has 208 divisors, whose sum is σ = 301953024. Its totient is φ = 18677760.

The previous prime is 82145233. The next prime is 82145299. The reversal of 82145280 is 8254128.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 429985 + ... + 430175.

Almost surely, 2^82145280 is an apocalyptic number.

82145280 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 82145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150976512).

82145280 is an abundant number, since it is smaller than the sum of its proper divisors (219807744).

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

82145280 is a wasteful number, since it uses less digits than its factorization.

82145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 82145280 is about 9063.4033342889. The cubic root of 82145280 is about 434.7045688571.

The spelling of 82145280 in words is "eighty-two million, one hundred forty-five thousand, two hundred eighty".