973981800 has 384 divisors, whose sum is σ = 3856896000. Its totient is φ = 223430400.

The previous prime is 973981751. The next prime is 973981823. The reversal of 973981800 is 8189379.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1128169 + ... + 1129031.

It is an arithmetic number, because the mean of its divisors is an integer number (10044000).

Almost surely, 2^973981800 is an apocalyptic number.

973981800 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 973981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928448000).

973981800 is an abundant number, since it is smaller than the sum of its proper divisors (2882914200).

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

973981800 is a wasteful number, since it uses less digits than its factorization.

973981800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 973981800 is about 31208.6814844844. The cubic root of 973981800 is about 991.2509439194.

The spelling of 973981800 in words is "nine hundred seventy-three million, nine hundred eighty-one thousand, eight hundred".