893730816 has 360 divisors, whose sum is σ = 3066991200. Its totient is φ = 247726080.

The previous prime is 893730809. The next prime is 893730839. The reversal of 893730816 is 618037398.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30818290 + ... + 30818318.

It is an arithmetic number, because the mean of its divisors is an integer number (8519420).

Almost surely, 2^893730816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893730816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533495600).

893730816 is an abundant number, since it is smaller than the sum of its proper divisors (2173260384).

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

893730816 is a wasteful number, since it uses less digits than its factorization.

893730816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 893730816 is about 29895.3310066974. The cubic root of 893730816 is about 963.2423700011.

The spelling of 893730816 in words is "eight hundred ninety-three million, seven hundred thirty thousand, eight hundred sixteen".