87808000 has 192 divisors, whose sum is σ = 255528000. Its totient is φ = 30105600.

The previous prime is 87807991. The next prime is 87808037. The reversal of 87808000 is 80878.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12543997 + ... + 12544003.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 2^87808000 is an apocalyptic number.

87808000 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 87808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127764000).

87808000 is an abundant number, since it is smaller than the sum of its proper divisors (167720000).

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

87808000 is an frugal number, since it uses more digits than its factorization.

87808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 87808000 is about 9370.5922971816. The cubic root of 87808000 is about 444.4722945511.

Adding to 87808000 its reverse (80878), we get a palindrome (87888878).

The spelling of 87808000 in words is "eighty-seven million, eight hundred eight thousand".