7987392 has 126 divisors (see below), whose sum is σ = 26726388. Its totient is φ = 2274048.

The previous prime is 7987387. The next prime is 7987393. The reversal of 7987392 is 2937897.

It is a tau number, because it is divible by the number of its divisors (126).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (7987393) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28083 + ... + 28365.

Almost surely, 2^7987392 is an apocalyptic number.

7987392 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 7987392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13363194).

7987392 is an abundant number, since it is smaller than the sum of its proper divisors (18738996).

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

7987392 is a wasteful number, since it uses less digits than its factorization.

7987392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 7987392 is about 2826.1974453318. The cubic root of 7987392 is about 199.8948780899.

The spelling of 7987392 in words is "seven million, nine hundred eighty-seven thousand, three hundred ninety-two".