8086382304 has 288 divisors, whose sum is σ = 28661278464. Its totient is φ = 1938493440.

The previous prime is 8086382263. The next prime is 8086382309. The reversal of 8086382304 is 4032836808.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8086382309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1246012 + ... + 1252484.

It is an arithmetic number, because the mean of its divisors is an integer number (99518328).

Almost surely, 2^8086382304 is an apocalyptic number.

8086382304 is a gapful number since it is divisible by the number (84) 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 8086382304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330639232).

8086382304 is an abundant number, since it is smaller than the sum of its proper divisors (20574896160).

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

8086382304 is a wasteful number, since it uses less digits than its factorization.

8086382304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6530 (or 6509 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 8086382304 is about 89924.3143093124. The cubic root of 8086382304 is about 2007.1727702643.

The spelling of 8086382304 in words is "eight billion, eighty-six million, three hundred eighty-two thousand, three hundred four".