887284800 has 672 divisors, whose sum is σ = 3628339200. Its totient is φ = 209848320.

The previous prime is 887284789. The next prime is 887284817. The reversal of 887284800 is 8482788.

It is a super-2 number, since 2×887284800² = 1574548632622080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18878377 + ... + 18878423.

Almost surely, 2^887284800 is an apocalyptic number.

887284800 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 887284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814169600).

887284800 is an abundant number, since it is smaller than the sum of its proper divisors (2741054400).

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

887284800 is a wasteful number, since it uses less digits than its factorization.

887284800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 887284800 is about 29787.3261639913. The cubic root of 887284800 is about 960.9209911501.

It can be divided in two parts, 88728 and 4800, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 887284800 in words is "eight hundred eighty-seven million, two hundred eighty-four thousand, eight hundred".