82281780 has 216 divisors, whose sum is σ = 306240480. Its totient is φ = 17781120.

The previous prime is 82281757. The next prime is 82281809. The reversal of 82281780 is 8718228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 167335 + ... + 167825.

It is an arithmetic number, because the mean of its divisors is an integer number (1417780).

Almost surely, 2^82281780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82281780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153120240).

82281780 is an abundant number, since it is smaller than the sum of its proper divisors (223958700).

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

82281780 is a wasteful number, since it uses less digits than its factorization.

82281780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82281780 is about 9070.9304925129. The cubic root of 82281780 is about 434.9452170408.

The spelling of 82281780 in words is "eighty-two million, two hundred eighty-one thousand, seven hundred eighty".