873194400 has 432 divisors, whose sum is σ = 3497588640. Its totient is φ = 203212800.

The previous prime is 873194393. The next prime is 873194401. The reversal of 873194400 is 4491378.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (873194401) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1778155 + ... + 1778645.

It is an arithmetic number, because the mean of its divisors is an integer number (8096270).

Almost surely, 2^873194400 is an apocalyptic number.

873194400 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 873194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748794320).

873194400 is an abundant number, since it is smaller than the sum of its proper divisors (2624394240).

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

873194400 is a wasteful number, since it uses less digits than its factorization.

873194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 873194400 is about 29549.8629438446. The cubic root of 873194400 is about 955.8072357502.

It can be divided in two parts, 87319 and 4400, that added together give a palindrome (91719).

The spelling of 873194400 in words is "eight hundred seventy-three million, one hundred ninety-four thousand, four hundred".