87832800 has 216 divisors, whose sum is σ = 338181480. Its totient is φ = 21273600.

The previous prime is 87832799. The next prime is 87832817. The reversal of 87832800 is 823878.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78646 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (1565655).

Almost surely, 2^87832800 is an apocalyptic number.

87832800 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 87832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169090740).

87832800 is an abundant number, since it is smaller than the sum of its proper divisors (250348680).

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

87832800 is a wasteful number, since it uses less digits than its factorization.

87832800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87832800 is about 9371.9154925767. The cubic root of 87832800 is about 444.5141353679.

The spelling of 87832800 in words is "eighty-seven million, eight hundred thirty-two thousand, eight hundred".