75870000 has 200 divisors, whose sum is σ = 273100080. Its totient is φ = 20160000.

The previous prime is 75869999. The next prime is 75870029. The reversal of 75870000 is 7857.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269860 + ... + 270140.

Almost surely, 2^75870000 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 75870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136550040).

75870000 is an abundant number, since it is smaller than the sum of its proper divisors (197230080).

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

75870000 is a wasteful number, since it uses less digits than its factorization.

75870000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 75870000 is about 8710.3386845748. The cubic root of 75870000 is about 423.3407043308.

Adding to 75870000 its reverse (7857), we get a palindrome (75877857).

The spelling of 75870000 in words is "seventy-five million, eight hundred seventy thousand".