87952800 has 144 divisors (see below), whose sum is σ = 308417760. Its totient is φ = 21642240.

The previous prime is 87952793. The next prime is 87952801. The reversal of 87952800 is 825978.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (87952801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29791 + ... + 32609.

It is an arithmetic number, because the mean of its divisors is an integer number (2141790).

Almost surely, 2^87952800 is an apocalyptic number.

87952800 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 87952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154208880).

87952800 is an abundant number, since it is smaller than the sum of its proper divisors (220464960).

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

87952800 is a wasteful number, since it uses less digits than its factorization.

87952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 87952800 is about 9378.3154137617. The cubic root of 87952800 is about 444.7164797551.

The spelling of 87952800 in words is "eighty-seven million, nine hundred fifty-two thousand, eight hundred".