73823400 has 432 divisors, whose sum is σ = 308730240. Its totient is φ = 16329600.

The previous prime is 73823383. The next prime is 73823413. The reversal of 73823400 is 432837.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2381385 + ... + 2381415.

Almost surely, 2^73823400 is an apocalyptic number.

73823400 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 73823400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

73823400 is an abundant number, since it is smaller than the sum of its proper divisors (234906840).

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

73823400 is a wasteful number, since it uses less digits than its factorization.

73823400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 73823400 is about 8592.0544691011. The cubic root of 73823400 is about 419.4994035781.

The spelling of 73823400 in words is "seventy-three million, eight hundred twenty-three thousand, four hundred".