87919800 has 144 divisors (see below), whose sum is σ = 285945240. Its totient is φ = 22344960.

The previous prime is 87919789. The next prime is 87919829. The reversal of 87919800 is 891978.

87919800 = T₂₄₀ + T₂₄₁ + ... + T₈₁₄.

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, 317262 + ... + 317538.

Almost surely, 2^87919800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87919800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142972620).

87919800 is an abundant number, since it is smaller than the sum of its proper divisors (198025440).

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

87919800 is a wasteful number, since it uses less digits than its factorization.

87919800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The square root of 87919800 is about 9376.5558708942. Note that the first 3 decimals coincide. The cubic root of 87919800 is about 444.6608534053.

The spelling of 87919800 in words is "eighty-seven million, nine hundred nineteen thousand, eight hundred".