894784000 has 320 divisors, whose sum is σ = 2573835264. Its totient is φ = 307200000.

The previous prime is 894783997. The next prime is 894784013. The reversal of 894784000 is 487498.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21823980 + ... + 21824020.

Almost surely, 2^894784000 is an apocalyptic number.

894784000 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 894784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

894784000 is an abundant number, since it is smaller than the sum of its proper divisors (1679051264).

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

894784000 is a wasteful number, since it uses less digits than its factorization.

894784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 894784000 is about 29912.9403436038. The cubic root of 894784000 is about 963.6205872472.

The spelling of 894784000 in words is "eight hundred ninety-four million, seven hundred eighty-four thousand".