8082815040 has 280 divisors, whose sum is σ = 29746209240. Its totient is φ = 2080899072.

The previous prime is 8082815009. The next prime is 8082815093. The reversal of 8082815040 is 405182808.

It can be written as a sum of positive squares in 4 ways, for example, as 2657608704 + 5425206336 = 51552^2 + 73656^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8082814986 and 8082815004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 746304 + ... + 757056.

Almost surely, 2^8082815040 is an apocalyptic number.

8082815040 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 8082815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873104620).

8082815040 is an abundant number, since it is smaller than the sum of its proper divisors (21663394200).

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

8082815040 is a wasteful number, since it uses less digits than its factorization.

8082815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 8082815040 is about 89904.4773078627. The cubic root of 8082815040 is about 2006.8775756999.

Adding to 8082815040 its reverse (405182808), we get a palindrome (8487997848).

The spelling of 8082815040 in words is "eight billion, eighty-two million, eight hundred fifteen thousand, forty".