8005685376 has 128 divisors (see below), whose sum is σ = 22977662400. Its totient is φ = 2455031808.

The previous prime is 8005685333. The next prime is 8005685377. The reversal of 8005685376 is 6735865008.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8005685376² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (8005685377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1579935 + ... + 1584993.

Almost surely, 2^8005685376 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 8005685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11488831200).

8005685376 is an abundant number, since it is smaller than the sum of its proper divisors (14971977024).

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

8005685376 is a wasteful number, since it uses less digits than its factorization.

8005685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5406 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 8005685376 is about 89474.4956733482. The cubic root of 8005685376 is about 2000.4736691432.

The spelling of 8005685376 in words is "eight billion, five million, six hundred eighty-five thousand, three hundred seventy-six".