87840000 has 270 divisors, whose sum is σ = 321667346. Its totient is φ = 23040000.

The previous prime is 87839989. The next prime is 87840001. The reversal of 87840000 is 4878.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 60466176 + 27373824 = 7776^2 + 5232^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87840001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439970 + ... + 1440030.

Almost surely, 2^87840000 is an apocalyptic number.

87840000 is a gapful number since it is divisible by the number (80) 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 87840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160833673).

87840000 is an abundant number, since it is smaller than the sum of its proper divisors (233827346).

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

87840000 is an equidigital number, since it uses as much as digits as its factorization.

87840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87840000 is about 9372.2996110880. The cubic root of 87840000 is about 444.5262812265.

Adding to 87840000 its reverse (4878), we get a palindrome (87844878).

The spelling of 87840000 in words is "eighty-seven million, eight hundred forty thousand".