73404800 has 192 divisors, whose sum is σ = 216280800. Its totient is φ = 24084480.

The previous prime is 73404769. The next prime is 73404803. The reversal of 73404800 is 840437.

It is a self number, because there is not a number n which added to its sum of digits gives 73404800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73404803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649544 + ... + 649656.

Almost surely, 2^73404800 is an apocalyptic number.

73404800 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 73404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

73404800 is an abundant number, since it is smaller than the sum of its proper divisors (142876000).

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

73404800 is a wasteful number, since it uses less digits than its factorization.

73404800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 73404800 is about 8567.6601239778. The cubic root of 73404800 is about 418.7050059327.

The spelling of 73404800 in words is "seventy-three million, four hundred four thousand, eight hundred".