890784000 has 288 divisors, whose sum is σ = 3290676480. Its totient is φ = 237312000.

The previous prime is 890783989. The next prime is 890784023. The reversal of 890784000 is 487098.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×890784000² = 1586992269312000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863485 + ... + 864515.

It is an arithmetic number, because the mean of its divisors is an integer number (11425960).

Almost surely, 2^890784000 is an apocalyptic number.

890784000 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 890784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645338240).

890784000 is an abundant number, since it is smaller than the sum of its proper divisors (2399892480).

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

890784000 is a wasteful number, since it uses less digits than its factorization.

890784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 890784000 is about 29846.0047577561. The cubic root of 890784000 is about 962.1825343064.

The spelling of 890784000 in words is "eight hundred ninety million, seven hundred eighty-four thousand".