82340783280 has 560 divisors, whose sum is σ = 331450553664. Its totient is φ = 18625075200.

The previous prime is 82340783249. The next prime is 82340783281. The reversal of 82340783280 is 8238704328.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (82340783281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 41231242 + ... + 41233238.

Almost surely, 2^82340783280 is an apocalyptic number.

82340783280 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 82340783280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165725276832).

82340783280 is an abundant number, since it is smaller than the sum of its proper divisors (249109770384).

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

82340783280 is a wasteful number, since it uses less digits than its factorization.

82340783280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 82340783280 in words is "eighty-two billion, three hundred forty million, seven hundred eighty-three thousand, two hundred eighty".