82803517440 has 384 divisors, whose sum is σ = 303803136000. Its totient is φ = 18860802048.

The previous prime is 82803517343. The next prime is 82803517441. The reversal of 82803517440 is 4471530828.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 82803517392 and 82803517401.

It is not an unprimeable number, because it can be changed into a prime (82803517441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90101301 + ... + 90102219.

It is an arithmetic number, because the mean of its divisors is an integer number (791154000).

Almost surely, 2^82803517440 is an apocalyptic number.

82803517440 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 82803517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568000).

82803517440 is an abundant number, since it is smaller than the sum of its proper divisors (220999618560).

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

82803517440 is a wasteful number, since it uses less digits than its factorization.

82803517440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 82803517440 in words is "eighty-two billion, eight hundred three million, five hundred seventeen thousand, four hundred forty".