8120819 has 18 divisors (see below), whose sum is σ = 9791460. Its totient is φ = 6713616.

The previous prime is 8120807. The next prime is 8120837. The reversal of 8120819 is 9180218.

It is not a de Polignac number, because 8120819 - 2²⁰ = 7072243 is a prime.

It is a super-2 number, since 2×8120819² = 131895402461522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8120791 and 8120800.

It is not an unprimeable number, because it can be changed into a prime (8120839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137612 + ... + 137670.

It is an arithmetic number, because the mean of its divisors is an integer number (543970).

Almost surely, 2^8120819 is an apocalyptic number.

8120819 is a deficient number, since it is larger than the sum of its proper divisors (1670641).

8120819 is an equidigital number, since it uses as much as digits as its factorization.

8120819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 29.

The square root of 8120819 is about 2849.7050724593. The cubic root of 8120819 is about 201.0017986193.

The spelling of 8120819 in words is "eight million, one hundred twenty thousand, eight hundred nineteen".