87640800 has 216 divisors, whose sum is σ = 313120584. Its totient is φ = 21166080.

The previous prime is 87640793. The next prime is 87640823. The reversal of 87640800 is 804678.

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, 1653574 + ... + 1653626.

Almost surely, 2^87640800 is an apocalyptic number.

87640800 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 87640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156560292).

87640800 is an abundant number, since it is smaller than the sum of its proper divisors (225479784).

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

87640800 is a wasteful number, since it uses less digits than its factorization.

87640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87640800 is about 9361.6665183075. Note that the first 3 decimals coincide. The cubic root of 87640800 is about 444.1900006554.

The spelling of 87640800 in words is "eighty-seven million, six hundred forty thousand, eight hundred".