873400320000 has 1350 divisors, whose sum is σ = 3525778153898. Its totient is φ = 214990848000.

The previous prime is 873400319969. The next prime is 873400320017. The reversal of 873400320000 is 23004378.

It can be written as a sum of positive squares in 5 ways, for example, as 511785713664 + 361614606336 = 715392^2 + 601344^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is a super-2 number, since 2×873400320000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 67184639994 + ... + 67184640006.

Almost surely, 2^873400320000 is an apocalyptic number.

873400320000 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 873400320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762889076949).

873400320000 is an abundant number, since it is smaller than the sum of its proper divisors (2652377833898).

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

873400320000 is an frugal number, since it uses more digits than its factorization.

873400320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 873400320000 its reverse (23004378), we get a palindrome (873423324378).

The spelling of 873400320000 in words is "eight hundred seventy-three billion, four hundred million, three hundred twenty thousand".