873738960 has 120 divisors (see below), whose sum is σ = 2753011296. Its totient is φ = 229236480.

The previous prime is 873738949. The next prime is 873738961. The reversal of 873738960 is 69837378.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (873738961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1076955 + ... + 1077765.

Almost surely, 2^873738960 is an apocalyptic number.

873738960 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 873738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376505648).

873738960 is an abundant number, since it is smaller than the sum of its proper divisors (1879272336).

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

873738960 is a wasteful number, since it uses less digits than its factorization.

873738960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 873738960 is about 29559.0757636297. The cubic root of 873738960 is about 956.0058880493.

The spelling of 873738960 in words is "eight hundred seventy-three million, seven hundred thirty-eight thousand, nine hundred sixty".