8205382296 has 160 divisors (see below), whose sum is σ = 24047907840. Its totient is φ = 2609019072.

The previous prime is 8205382279. The next prime is 8205382303. The reversal of 8205382296 is 6922835028.

It is a happy number.

8205382296 is a `hidden beast` number, since 8 + 2 + 0 + 538 + 22 + 96 = 666.

It is a congruent number.

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, 9046275 + ... + 9047181.

It is an arithmetic number, because the mean of its divisors is an integer number (150299424).

Almost surely, 2^8205382296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8205382296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12023953920).

8205382296 is an abundant number, since it is smaller than the sum of its proper divisors (15842525544).

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

8205382296 is a wasteful number, since it uses less digits than its factorization.

8205382296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 8205382296 is about 90583.5652643458. The cubic root of 8205382296 is about 2016.9707803316.

The spelling of 8205382296 in words is "eight billion, two hundred five million, three hundred eighty-two thousand, two hundred ninety-six".