873536400 has 720 divisors, whose sum is σ = 3693930240. Its totient is φ = 195955200.

The previous prime is 873536393. The next prime is 873536423. The reversal of 873536400 is 4635378.

It is a happy number.

873536400 is a `hidden beast` number, since 8 + 7 + 3 + 5 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 20314779 + ... + 20314821.

Almost surely, 2^873536400 is an apocalyptic number.

873536400 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 873536400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846965120).

873536400 is an abundant number, since it is smaller than the sum of its proper divisors (2820393840).

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

873536400 is a wasteful number, since it uses less digits than its factorization.

873536400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 873536400 is about 29555.6492062008. The cubic root of 873536400 is about 955.9320049911.

The spelling of 873536400 in words is "eight hundred seventy-three million, five hundred thirty-six thousand, four hundred".