75406500 has 144 divisors (see below), whose sum is σ = 256379760. Its totient is φ = 18547200.

The previous prime is 75406493. The next prime is 75406501. The reversal of 75406500 is 560457.

75406500 is a `hidden beast` number, since 7 + 5 + 4 + 0 + 650 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 26378496 + 49028004 = 5136^2 + 7002^2 .

It is a super-2 number, since 2×75406500² = 11372280484500000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75406501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57856 + ... + 59144.

It is an arithmetic number, because the mean of its divisors is an integer number (1780415).

Almost surely, 2^75406500 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 75406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128189880).

75406500 is an abundant number, since it is smaller than the sum of its proper divisors (180973260).

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

75406500 is a wasteful number, since it uses less digits than its factorization.

75406500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 75406500 is about 8683.6916112907. The cubic root of 75406500 is about 422.4768611209.

Adding to 75406500 its reverse (560457), we get a palindrome (75966957).

The spelling of 75406500 in words is "seventy-five million, four hundred six thousand, five hundred".