893808072 has 96 divisors (see below), whose sum is σ = 2512107000. Its totient is φ = 287097216.

The previous prime is 893808067. The next prime is 893808079. The reversal of 893808072 is 270808398.

893808072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 625700196 + 268107876 = 25014^2 + 16374^2 .

It is not an unprimeable number, because it can be changed into a prime (893808079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1755754 + ... + 1756262.

Almost surely, 2^893808072 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 893808072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256053500).

893808072 is an abundant number, since it is smaller than the sum of its proper divisors (1618298928).

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

893808072 is a wasteful number, since it uses less digits than its factorization.

893808072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 893808072 is about 29896.6230868973. The cubic root of 893808072 is about 963.2701241104.

The spelling of 893808072 in words is "eight hundred ninety-three million, eight hundred eight thousand, seventy-two".