896781600 has 648 divisors, whose sum is σ = 3791288592. Its totient is φ = 197683200.

The previous prime is 896781583. The next prime is 896781631. The reversal of 896781600 is 6187698.

It is a happy number.

896781600 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13384767 + ... + 13384833.

It is an arithmetic number, because the mean of its divisors is an integer number (5850754).

Almost surely, 2^896781600 is an apocalyptic number.

896781600 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 896781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895644296).

896781600 is an abundant number, since it is smaller than the sum of its proper divisors (2894506992).

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

896781600 is a wasteful number, since it uses less digits than its factorization.

896781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 896781600 is about 29946.3119599058. The cubic root of 896781600 is about 964.3371466982.

The spelling of 896781600 in words is "eight hundred ninety-six million, seven hundred eighty-one thousand, six hundred".