75526032400 has 405 divisors, whose sum is σ = 230085256023. Its totient is φ = 23744448000.

The previous prime is 75526032383. The next prime is 75526032401. The reversal of 75526032400 is 423062557.

The square root of 75526032400 is 274820.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19466946576 + 56059085824 = 139524^2 + 236768^2 .

It is a super-3 number, since 3×75526032400³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (75526032401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 500172325 + ... + 500172475.

Almost surely, 2^75526032400 is an apocalyptic number.

75526032400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75526032400 is the 274820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75526032400

75526032400 is an abundant number, since it is smaller than the sum of its proper divisors (154559223623).

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

75526032400 is a wasteful number, since it uses less digits than its factorization.

75526032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

Adding to 75526032400 its reverse (423062557), we get a palindrome (75949094957).

The spelling of 75526032400 in words is "seventy-five billion, five hundred twenty-six million, thirty-two thousand, four hundred".