87276800 has 108 divisors (see below), whose sum is σ = 232862700. Its totient is φ = 32194560.

The previous prime is 87276767. The next prime is 87276803. The reversal of 87276800 is 867278.

It can be written as a sum of positive squares in 6 ways, for example, as 861184 + 86415616 = 928^2 + 9296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87276803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82676 + ... + 83724.

Almost surely, 2^87276800 is an apocalyptic number.

87276800 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 87276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116431350).

87276800 is an abundant number, since it is smaller than the sum of its proper divisors (145585900).

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

87276800 is a wasteful number, since it uses less digits than its factorization.

87276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 87276800 is about 9342.2053070996. The cubic root of 87276800 is about 443.5741934005.

The spelling of 87276800 in words is "eighty-seven million, two hundred seventy-six thousand, eight hundred".