8006790 has 64 divisors (see below), whose sum is σ = 22083840. Its totient is φ = 1837440.

The previous prime is 8006753. The next prime is 8006797. The reversal of 8006790 is 976008.

It is a happy number.

It is a super-2 number, since 2×8006790² = 128217372208200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8006797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5632 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (345060).

Almost surely, 2^8006790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8006790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041920).

8006790 is an abundant number, since it is smaller than the sum of its proper divisors (14077050).

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

8006790 is a wasteful number, since it uses less digits than its factorization.

8006790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 8006790 is about 2829.6271839237. The cubic root of 8006790 is about 200.0565673325.

The spelling of 8006790 in words is "eight million, six thousand, seven hundred ninety".