873390816 has 96 divisors (see below), whose sum is σ = 2595589920. Its totient is φ = 285622272.

The previous prime is 873390787. The next prime is 873390821. The reversal of 873390816 is 618093378.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 36256 + ... + 55328.

It is an arithmetic number, because the mean of its divisors is an integer number (27037395).

Almost surely, 2^873390816 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 873390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297794960).

873390816 is an abundant number, since it is smaller than the sum of its proper divisors (1722199104).

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

873390816 is a wasteful number, since it uses less digits than its factorization.

873390816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19145 (or 19131 counting only the distinct ones).

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

The square root of 873390816 is about 29553.1862241620. The cubic root of 873390816 is about 955.8788966768.

The spelling of 873390816 in words is "eight hundred seventy-three million, three hundred ninety thousand, eight hundred sixteen".