7887312 has 30 divisors (see below), whose sum is σ = 22073922. Its totient is φ = 2629056.

The previous prime is 7887311. The next prime is 7887317. The reversal of 7887312 is 2137887.

It can be written as a sum of positive squares in only one way, i.e., 7817616 + 69696 = 2796^2 + 264^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7887311) 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 5 ways as a sum of consecutive naturals, for example, 27243 + ... + 27530.

Almost surely, 2^7887312 is an apocalyptic number.

7887312 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7887312 is an abundant number, since it is smaller than the sum of its proper divisors (14186610).

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

7887312 is a wasteful number, since it uses less digits than its factorization.

7887312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54787 (or 54778 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 7887312 is about 2808.4358636081. The cubic root of 7887312 is about 199.0564892702.

It can be divided in two parts, 788 and 7312, that added together give a square (8100 = 90²).

The spelling of 7887312 in words is "seven million, eight hundred eighty-seven thousand, three hundred twelve".