884884000 has 576 divisors, whose sum is σ = 3107849472. Its totient is φ = 239616000.

The previous prime is 884883997. The next prime is 884884001. The reversal of 884884000 is 488488.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (884884001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52051992 + ... + 52052008.

It is an arithmetic number, because the mean of its divisors is an integer number (5395572).

Almost surely, 2^884884000 is an apocalyptic number.

884884000 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 884884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553924736).

884884000 is an abundant number, since it is smaller than the sum of its proper divisors (2222965472).

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

884884000 is a wasteful number, since it uses less digits than its factorization.

884884000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 884884000 is about 29746.9998487242. Note that the first 3 decimals coincide. The cubic root of 884884000 is about 960.0535271080.

The spelling of 884884000 in words is "eight hundred eighty-four million, eight hundred eighty-four thousand".