87756800 has 78 divisors (see below), whose sum is σ = 217864218. Its totient is φ = 35061760.

The previous prime is 87756797. The next prime is 87756803. The reversal of 87756800 is 865778.

It is an interprime number because it is at equal distance from previous prime (87756797) and next prime (87756803).

It can be written as a sum of positive squares in 3 ways, for example, as 20647936 + 67108864 = 4544^2 + 8192^2 .

It is not an unprimeable number, because it can be changed into a prime (87756803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 101972 + ... + 102828.

It is an arithmetic number, because the mean of its divisors is an integer number (2793131).

Almost surely, 2^87756800 is an apocalyptic number.

87756800 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 87756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108932109).

87756800 is an abundant number, since it is smaller than the sum of its proper divisors (130107418).

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

87756800 is an equidigital number, since it uses as much as digits as its factorization.

87756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 41.

The square root of 87756800 is about 9367.8599477148. The cubic root of 87756800 is about 444.3858885819.

The spelling of 87756800 in words is "eighty-seven million, seven hundred fifty-six thousand, eight hundred".