75840000 has 200 divisors, whose sum is σ = 255668160. Its totient is φ = 19968000.

The previous prime is 75839983. The next prime is 75840007. The reversal of 75840000 is 4857.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (75840007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 959961 + ... + 960039.

Almost surely, 2^75840000 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 75840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127834080).

75840000 is an abundant number, since it is smaller than the sum of its proper divisors (179828160).

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

75840000 is an frugal number, since it uses more digits than its factorization.

75840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 75840000 is about 8708.6164228309. The cubic root of 75840000 is about 423.2848988063.

Adding to 75840000 its reverse (4857), we get a palindrome (75844857).

The spelling of 75840000 in words is "seventy-five million, eight hundred forty thousand".