8000919 has 24 divisors (see below), whose sum is σ = 12355200. Its totient is φ = 4974480.

The previous prime is 8000911. The next prime is 8000921. The reversal of 8000919 is 9190008.

It is not a de Polignac number, because 8000919 - 2³ = 8000911 is a prime.

It is a super-2 number, since 2×8000919² = 128029409689122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8000892 and 8000901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000911) 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 23 ways as a sum of consecutive naturals, for example, 11812 + ... + 12470.

It is an arithmetic number, because the mean of its divisors is an integer number (514800).

Almost surely, 2^8000919 is an apocalyptic number.

8000919 is a deficient number, since it is larger than the sum of its proper divisors (4354281).

8000919 is a wasteful number, since it uses less digits than its factorization.

8000919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 8000919 is about 2828.5895778639. The cubic root of 8000919 is about 200.0076580401.

The spelling of 8000919 in words is "eight million, nine hundred nineteen", and thus it is an aban number.