73830481200 has 720 divisors, whose sum is σ = 309906355200. Its totient is φ = 15900364800.

The previous prime is 73830481159. The next prime is 73830481259. The reversal of 73830481200 is 218403837.

73830481200 is a `hidden beast` number, since 73 + 8 + 304 + 81 + 200 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 129754516 + ... + 129755084.

Almost surely, 2^73830481200 is an apocalyptic number.

73830481200 is a gapful number since it is divisible by the number (70) 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 73830481200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154953177600).

73830481200 is an abundant number, since it is smaller than the sum of its proper divisors (236075874000).

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

73830481200 is a wasteful number, since it uses less digits than its factorization.

73830481200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 73830481200 in words is "seventy-three billion, eight hundred thirty million, four hundred eighty-one thousand, two hundred".