73990800 has 480 divisors, whose sum is σ = 309980160. Its totient is φ = 16588800.

The previous prime is 73990799. The next prime is 73990801. The reversal of 73990800 is 809937.

It is an interprime number because it is at equal distance from previous prime (73990799) and next prime (73990801).

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 (73990801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2386785 + ... + 2386815.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^73990800 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 73990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

73990800 is an abundant number, since it is smaller than the sum of its proper divisors (235989360).

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

73990800 is a wasteful number, since it uses less digits than its factorization.

73990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 73990800 is about 8601.7905112831. The cubic root of 73990800 is about 419.8162461483.

The spelling of 73990800 in words is "seventy-three million, nine hundred ninety thousand, eight hundred".