82303865280 has 2016 divisors, whose sum is σ = 391564368000. Its totient is φ = 15780151296.

The previous prime is 82303865269. The next prime is 82303865351. The reversal of 82303865280 is 8256830328.

82303865280 is a `hidden beast` number, since 8 + 2 + 303 + 8 + 65 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2838064306 + ... + 2838064334.

Almost surely, 2^82303865280 is an apocalyptic number.

82303865280 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 82303865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195782184000).

82303865280 is an abundant number, since it is smaller than the sum of its proper divisors (309260502720).

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

82303865280 is a wasteful number, since it uses less digits than its factorization.

82303865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 82303865280 in words is "eighty-two billion, three hundred three million, eight hundred sixty-five thousand, two hundred eighty".