7587882 has 48 divisors (see below), whose sum is σ = 17631432. Its totient is φ = 2350080.

The previous prime is 7587863. The next prime is 7587883. The reversal of 7587882 is 2887857.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5574321 + 2013561 = 2361^2 + 1419^2 .

It is not an unprimeable number, because it can be changed into a prime (7587883) 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 23 ways as a sum of consecutive naturals, for example, 41832 + ... + 42012.

Almost surely, 2^7587882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7587882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8815716).

7587882 is an abundant number, since it is smaller than the sum of its proper divisors (10043550).

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

7587882 is a wasteful number, since it uses less digits than its factorization.

7587882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 340 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 7587882 is about 2754.6110433235. The cubic root of 7587882 is about 196.5049626779.

The spelling of 7587882 in words is "seven million, five hundred eighty-seven thousand, eight hundred eighty-two".