73863900 has 180 divisors, whose sum is σ = 261519720. Its totient is φ = 17884800.

The previous prime is 73863883. The next prime is 73863901. The reversal of 73863900 is 936837.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×73863900³ (a number of 25 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (73863901) 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 59 ways as a sum of consecutive naturals, for example, 88686 + ... + 89514.

Almost surely, 2^73863900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73863900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130759860).

73863900 is an abundant number, since it is smaller than the sum of its proper divisors (187655820).

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

73863900 is a wasteful number, since it uses less digits than its factorization.

73863900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 73863900 is about 8594.4109745811. The cubic root of 73863900 is about 419.5761029259.

The spelling of 73863900 in words is "seventy-three million, eight hundred sixty-three thousand, nine hundred".