75065040400 has 405 divisors, whose sum is σ = 223580706381. Its totient is φ = 24145309440.

The previous prime is 75065040377. The next prime is 75065040451. The reversal of 75065040400 is 404056057.

It is a happy number.

The square root of 75065040400 is 273980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27023414544 + 48041625856 = 164388^2 + 219184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 728786749 + ... + 728786851.

Almost surely, 2^75065040400 is an apocalyptic number.

75065040400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75065040400 is the 273980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75065040400

75065040400 is an abundant number, since it is smaller than the sum of its proper divisors (148515665981).

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

75065040400 is a wasteful number, since it uses less digits than its factorization.

75065040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

Adding to 75065040400 its reverse (404056057), we get a palindrome (75469096457).

The spelling of 75065040400 in words is "seventy-five billion, sixty-five million, forty thousand, four hundred".