8007816 has 64 divisors (see below), whose sum is σ = 22334400. Its totient is φ = 2377728.

The previous prime is 8007809. The next prime is 8007821. The reversal of 8007816 is 6187008.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam 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, 7236 + ... + 8268.

It is an arithmetic number, because the mean of its divisors is an integer number (348975).

Almost surely, 2^8007816 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 8007816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167200).

8007816 is an abundant number, since it is smaller than the sum of its proper divisors (14326584).

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

8007816 is a wasteful number, since it uses less digits than its factorization.

8007816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 8007816 is about 2829.8084740844. The cubic root of 8007816 is about 200.0651121331.

The spelling of 8007816 in words is "eight million, seven thousand, eight hundred sixteen".