896760000 has 420 divisors, whose sum is σ = 3342205152. Its totient is φ = 229632000.

The previous prime is 896759989. The next prime is 896760001. The reversal of 896760000 is 67698.

896760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (896760001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16919974 + ... + 16920026.

Almost surely, 2^896760000 is an apocalyptic number.

896760000 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 896760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671102576).

896760000 is an abundant number, since it is smaller than the sum of its proper divisors (2445445152).

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

896760000 is a wasteful number, since it uses less digits than its factorization.

896760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 896760000 is about 29945.9513123227. The cubic root of 896760000 is about 964.3294042521.

The spelling of 896760000 in words is "eight hundred ninety-six million, seven hundred sixty thousand".