887272800 has 288 divisors, whose sum is σ = 3023806464. Its totient is φ = 225792000.

The previous prime is 887272787. The next prime is 887272801. The reversal of 887272800 is 8272788.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (887272801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6986337 + ... + 6986463.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2^887272800 is an apocalyptic number.

887272800 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 887272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511903232).

887272800 is an abundant number, since it is smaller than the sum of its proper divisors (2136533664).

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

887272800 is a wasteful number, since it uses less digits than its factorization.

887272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 887272800 is about 29787.1247353618. The cubic root of 887272800 is about 960.9166591686.

The spelling of 887272800 in words is "eight hundred eighty-seven million, two hundred seventy-two thousand, eight hundred".