75459840 has 144 divisors (see below), whose sum is σ = 247144128. Its totient is φ = 19611648.

The previous prime is 75459833. The next prime is 75459869. The reversal of 75459840 is 4895457.

It is a junction number, because it is equal to n+sod(n) for n = 75459792 and 75459801.

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 15 ways as a sum of consecutive naturals, for example, 164892 + ... + 165348.

Almost surely, 2^75459840 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 75459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123572064).

75459840 is an abundant number, since it is smaller than the sum of its proper divisors (171684288).

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

75459840 is a wasteful number, since it uses less digits than its factorization.

75459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 75459840 is about 8686.7623427834. The cubic root of 75459840 is about 422.5764529084.

The spelling of 75459840 in words is "seventy-five million, four hundred fifty-nine thousand, eight hundred forty".