8000412 has 96 divisors (see below), whose sum is σ = 23030784. Its totient is φ = 2112000.

The previous prime is 8000411. The next prime is 8000413. The reversal of 8000412 is 2140008.

8000412 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8000411) and next prime (8000413).

It is a junction number, because it is equal to n+sod(n) for n = 8000391 and 8000400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79162 + ... + 79262.

It is an arithmetic number, because the mean of its divisors is an integer number (239904).

Almost surely, 2^8000412 is an apocalyptic number.

8000412 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is a pronic number, being equal to 2828×2829.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392).

8000412 is an abundant number, since it is smaller than the sum of its proper divisors (15030372).

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

8000412 is a wasteful number, since it uses less digits than its factorization.

8000412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8000412 is about 2828.4999558070. The cubic root of 8000412 is about 200.0034332744.

The spelling of 8000412 in words is "eight million, four hundred twelve", and thus it is an aban number.