8020393408 has 112 divisors (see below), whose sum is σ = 16750182400. Its totient is φ = 3805885440.

The previous prime is 8020393379. The next prime is 8020393463. The reversal of 8020393408 is 8043930208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35023438 + ... + 35023666.

It is an arithmetic number, because the mean of its divisors is an integer number (149555200).

Almost surely, 2^8020393408 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 8020393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375091200).

8020393408 is an abundant number, since it is smaller than the sum of its proper divisors (8729788992).

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

8020393408 is a wasteful number, since it uses less digits than its factorization.

8020393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 8020393408 is about 89556.6491557160. The cubic root of 8020393408 is about 2001.6980086420.

The spelling of 8020393408 in words is "eight billion, twenty million, three hundred ninety-three thousand, four hundred eight".