87958800 has 180 divisors, whose sum is σ = 311675364. Its totient is φ = 22963200.

The previous prime is 87958777. The next prime is 87958813. The reversal of 87958800 is 885978.

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 86713344 = 1116^2 + 9312^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 35 ways as a sum of consecutive naturals, for example, 190570 + ... + 191030.

Almost surely, 2^87958800 is an apocalyptic number.

87958800 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 87958800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155837682).

87958800 is an abundant number, since it is smaller than the sum of its proper divisors (223716564).

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

87958800 is a wasteful number, since it uses less digits than its factorization.

87958800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 87958800 is about 9378.6352951802. The cubic root of 87958800 is about 444.7265921419.

The spelling of 87958800 in words is "eighty-seven million, nine hundred fifty-eight thousand, eight hundred".