896880000 has 320 divisors, whose sum is σ = 3087699120. Its totient is φ = 230400000.

The previous prime is 896879993. The next prime is 896880031. The reversal of 896880000 is 88698.

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

It is a super-3 number, since 3×896880000³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879950 + ... + 8880050.

Almost surely, 2^896880000 is an apocalyptic number.

896880000 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 896880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543849560).

896880000 is an abundant number, since it is smaller than the sum of its proper divisors (2190819120).

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

896880000 is a wasteful number, since it uses less digits than its factorization.

896880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 896880000 is about 29947.9548550481. The cubic root of 896880000 is about 964.3724162684.

The spelling of 896880000 in words is "eight hundred ninety-six million, eight hundred eighty thousand".