73800000 has 252 divisors, whose sum is σ = 270849852. Its totient is φ = 19200000.

The previous prime is 73799981. The next prime is 73800053. The reversal of 73800000 is 837.

It can be written as a sum of positive squares in 6 ways, for example, as 72182016 + 1617984 = 8496^2 + 1272^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799980 + ... + 1800020.

It is an arithmetic number, because the mean of its divisors is an integer number (1074801).

Almost surely, 2^73800000 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 73800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135424926).

73800000 is an abundant number, since it is smaller than the sum of its proper divisors (197049852).

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

73800000 is an equidigital number, since it uses as much as digits as its factorization.

73800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 73800000 is about 8590.6926379658. The cubic root of 73800000 is about 419.4550756125.

Adding to 73800000 its reverse (837), we get a palindrome (73800837).

The spelling of 73800000 in words is "seventy-three million, eight hundred thousand".