73830400 has 156 divisors (see below), whose sum is σ = 211262272. Its totient is φ = 25067520.

The previous prime is 73830359. The next prime is 73830403. The reversal of 73830400 is 403837.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73830403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716749 + ... + 716851.

Almost surely, 2^73830400 is an apocalyptic number.

73830400 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 73830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105631136).

73830400 is an abundant number, since it is smaller than the sum of its proper divisors (137431872).

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

73830400 is a wasteful number, since it uses less digits than its factorization.

73830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 73830400 is about 8592.4618125424. The cubic root of 73830400 is about 419.5126622603.

The spelling of 73830400 in words is "seventy-three million, eight hundred thirty thousand, four hundred".