82043280 has 200 divisors, whose sum is σ = 311122944. Its totient is φ = 19872000.

The previous prime is 82043263. The next prime is 82043281. The reversal of 82043280 is 8234028.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82043281) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70705 + ... + 71855.

Almost surely, 2^82043280 is an apocalyptic number.

82043280 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 82043280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472).

82043280 is an abundant number, since it is smaller than the sum of its proper divisors (229079664).

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

82043280 is a wasteful number, since it uses less digits than its factorization.

82043280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82043280 is about 9057.7745611160. The cubic root of 82043280 is about 434.5245697506.

It can be divided in two parts, 820 and 43280, that added together give a square (44100 = 210²).

The spelling of 82043280 in words is "eighty-two million, forty-three thousand, two hundred eighty".