87896800 has 144 divisors (see below), whose sum is σ = 237922272. Its totient is φ = 31539200.

The previous prime is 87896779. The next prime is 87896807. The reversal of 87896800 is 869878.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87896807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312660 + ... + 312940.

It is an arithmetic number, because the mean of its divisors is an integer number (1652238).

Almost surely, 2^87896800 is an apocalyptic number.

87896800 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 87896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118961136).

87896800 is an abundant number, since it is smaller than the sum of its proper divisors (150025472).

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

87896800 is a wasteful number, since it uses less digits than its factorization.

87896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 87896800 is about 9375.3293275490. The cubic root of 87896800 is about 444.6220752932.

The spelling of 87896800 in words is "eighty-seven million, eight hundred ninety-six thousand, eight hundred".