75650400 has 432 divisors, whose sum is σ = 324979200. Its totient is φ = 16174080.

The previous prime is 75650389. The next prime is 75650417. The reversal of 75650400 is 405657.

75650400 is a `hidden beast` number, since 7 + 5 + 650 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957561 + ... + 957639.

Almost surely, 2^75650400 is an apocalyptic number.

75650400 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 75650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600).

75650400 is an abundant number, since it is smaller than the sum of its proper divisors (249328800).

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

75650400 is a wasteful number, since it uses less digits than its factorization.

75650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 115 counting only the distinct ones).

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

The square root of 75650400 is about 8697.7238401780. The cubic root of 75650400 is about 422.9318670338.

The spelling of 75650400 in words is "seventy-five million, six hundred fifty thousand, four hundred".