73804800 has 198 divisors, whose sum is σ = 252051204. Its totient is φ = 19046400.

The previous prime is 73804789. The next prime is 73804807. The reversal of 73804800 is 840837.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (73804807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2380785 + ... + 2380815.

Almost surely, 2^73804800 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 73804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126025602).

73804800 is an abundant number, since it is smaller than the sum of its proper divisors (178246404).

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

73804800 is a wasteful number, since it uses less digits than its factorization.

73804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 73804800 is about 8590.9720055416. The cubic root of 73804800 is about 419.4641692924.

The spelling of 73804800 in words is "seventy-three million, eight hundred four thousand, eight hundred".