973324800 has 720 divisors, whose sum is σ = 4274404992. Its totient is φ = 206438400.

The previous prime is 973324777. The next prime is 973324831. The reversal of 973324800 is 8423379.

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

It is a super-2 number, since 2×973324800² = 1894722332590080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13708765 + ... + 13708835.

Almost surely, 2^973324800 is an apocalyptic number.

973324800 is a gapful number since it is divisible by the number (90) 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 973324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137202496).

973324800 is an abundant number, since it is smaller than the sum of its proper divisors (3301080192).

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

973324800 is a wasteful number, since it uses less digits than its factorization.

973324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 973324800 is about 31198.1537915307. The cubic root of 973324800 is about 991.0280108149.

The spelling of 973324800 in words is "nine hundred seventy-three million, three hundred twenty-four thousand, eight hundred".