8005380 has 48 divisors (see below), whose sum is σ = 23393664. Its totient is φ = 2041600.

The previous prime is 8005379. The next prime is 8005391. The reversal of 8005380 is 835008.

It is a super-2 number, since 2×8005380² = 128172217888800, which contains 22 as substring.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8005380.

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, 1521 + ... + 4280.

It is an arithmetic number, because the mean of its divisors is an integer number (487368).

Almost surely, 2^8005380 is an apocalyptic number.

It is an amenable number.

8005380 is an abundant number, since it is smaller than the sum of its proper divisors (15388284).

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

8005380 is a wasteful number, since it uses less digits than its factorization.

8005380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5836 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8005380 is about 2829.3780235239. The cubic root of 8005380 is about 200.0448232869.

It can be divided in two parts, 8005 and 380, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 8005380 in words is "eight million, five thousand, three hundred eighty".