87826800 has 60 divisors (see below), whose sum is σ = 281342360. Its totient is φ = 23420160.

The previous prime is 87826799. The next prime is 87826801. The reversal of 87826800 is 862878.

It is an interprime number because it is at equal distance from previous prime (87826799) and next prime (87826801).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87826801) 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 11 ways as a sum of consecutive naturals, for example, 35395 + ... + 37794.

Almost surely, 2^87826800 is an apocalyptic number.

87826800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87826800 is an abundant number, since it is smaller than the sum of its proper divisors (193515560).

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

87826800 is a wasteful number, since it uses less digits than its factorization.

87826800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73210 (or 73199 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 87826800 is about 9371.5953817907. The cubic root of 87826800 is about 444.5040133119.

The spelling of 87826800 in words is "eighty-seven million, eight hundred twenty-six thousand, eight hundred".