7987000 has 96 divisors (see below), whose sum is σ = 21874320. Its totient is φ = 2721600.

The previous prime is 7986997. The next prime is 7987009. The reversal of 7987000 is 7897.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48919 + ... + 49081.

Almost surely, 2^7987000 is an apocalyptic number.

7987000 is a gapful number since it is divisible by the number (70) 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 7987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10937160).

7987000 is an abundant number, since it is smaller than the sum of its proper divisors (13887320).

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

7987000 is a wasteful number, since it uses less digits than its factorization.

7987000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 7987000 is about 2826.1280933461. The cubic root of 7987000 is about 199.8916079331.

The spelling of 7987000 in words is "seven million, nine hundred eighty-seven thousand".