75006400 has 168 divisors, whose sum is σ = 217826336. Its totient is φ = 24883200.

The previous prime is 75006367. The next prime is 75006409. The reversal of 75006400 is 460057.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75006409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414310 + ... + 414490.

Almost surely, 2^75006400 is an apocalyptic number.

75006400 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 75006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108913168).

75006400 is an abundant number, since it is smaller than the sum of its proper divisors (142819936).

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

75006400 is a wasteful number, since it uses less digits than its factorization.

75006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 75006400 is about 8660.6235341342. The cubic root of 75006400 is about 421.7283277965.

Adding to 75006400 its reverse (460057), we get a palindrome (75466457).

The spelling of 75006400 in words is "seventy-five million, six thousand, four hundred".