7995312 has 60 divisors (see below), whose sum is σ = 24102624. Its totient is φ = 2459520.

The previous prime is 7995301. The next prime is 7995319. The reversal of 7995312 is 2135997.

It is a super-3 number, since 3×7995312³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7995319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264 + ... + 4007.

Almost surely, 2^7995312 is an apocalyptic number.

7995312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7995312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12051312).

7995312 is an abundant number, since it is smaller than the sum of its proper divisors (16107312).

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

7995312 is a wasteful number, since it uses less digits than its factorization.

7995312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4289 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 7995312 is about 2827.5982741542. The cubic root of 7995312 is about 199.9609256998.

The spelling of 7995312 in words is "seven million, nine hundred ninety-five thousand, three hundred twelve".