75969400 has 96 divisors (see below), whose sum is σ = 193737600. Its totient is φ = 27532800.

The previous prime is 75969371. The next prime is 75969427. The reversal of 75969400 is 496957.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158361 + ... + 158839.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2^75969400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96868800).

75969400 is an abundant number, since it is smaller than the sum of its proper divisors (117768200).

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

75969400 is a wasteful number, since it uses less digits than its factorization.

75969400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 75969400 is about 8716.0426800240. The cubic root of 75969400 is about 423.5255015828.

The spelling of 75969400 in words is "seventy-five million, nine hundred sixty-nine thousand, four hundred".