75825750 has 256 divisors, whose sum is σ = 256628736. Its totient is φ = 14400000.

The previous prime is 75825697. The next prime is 75825781. The reversal of 75825750 is 5752857.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 75825699 and 75825708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 750700 + ... + 750800.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 2^75825750 is an apocalyptic number.

75825750 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75825750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

75825750 is an abundant number, since it is smaller than the sum of its proper divisors (180802986).

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

75825750 is a wasteful number, since it uses less digits than its factorization.

75825750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 75825750 is about 8707.7982291737. The cubic root of 75825750 is about 423.2583860266.

The spelling of 75825750 in words is "seventy-five million, eight hundred twenty-five thousand, seven hundred fifty".