873327630400 has 189 divisors, whose sum is σ = 2190456874983. Its totient is φ = 342707174400.

The previous prime is 873327630361. The next prime is 873327630403. The reversal of 873327630400 is 4036723378.

The square root of 873327630400 is 934520.

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 402270525504 + 471057104896 = 634248^2 + 686336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (873327630403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2280228609 + ... + 2280228991.

Almost surely, 2^873327630400 is an apocalyptic number.

873327630400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

873327630400 is the 934520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873327630400

873327630400 is an abundant number, since it is smaller than the sum of its proper divisors (1317129244583).

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

873327630400 is an frugal number, since it uses more digits than its factorization.

873327630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 43.

The spelling of 873327630400 in words is "eight hundred seventy-three billion, three hundred twenty-seven million, six hundred thirty thousand, four hundred".