893770816 has 63 divisors (see below), whose sum is σ = 1841032767. Its totient is φ = 430502400.

The previous prime is 893770793. The next prime is 893770831. The reversal of 893770816 is 618077398.

The square root of 893770816 is 29896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 665640000 + 228130816 = 25800^2 + 15104^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 893770816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8849166 + ... + 8849266.

Almost surely, 2^893770816 is an apocalyptic number.

893770816 is the 29896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 893770816

893770816 is an abundant number, since it is smaller than the sum of its proper divisors (947261951).

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

893770816 is an equidigital number, since it uses as much as digits as its factorization.

893770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The cubic root of 893770816 is about 963.2567401445.

Multiplying 893770816 by its sum of digits (49), we get a square (43794769984 = 209272²).

The spelling of 893770816 in words is "eight hundred ninety-three million, seven hundred seventy thousand, eight hundred sixteen".