75986400 has 144 divisors (see below), whose sum is σ = 282731904. Its totient is φ = 17364480.

The previous prime is 75986399. The next prime is 75986431. The reversal of 75986400 is 468957.

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, 14539 + ... + 19061.

It is an arithmetic number, because the mean of its divisors is an integer number (1963416).

Almost surely, 2^75986400 is an apocalyptic number.

75986400 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 75986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141365952).

75986400 is an abundant number, since it is smaller than the sum of its proper divisors (206745504).

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

75986400 is a wasteful number, since it uses less digits than its factorization.

75986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 75986400 is about 8717.0178386877. The cubic root of 75986400 is about 423.5570906021.

The spelling of 75986400 in words is "seventy-five million, nine hundred eighty-six thousand, four hundred".