75675840 has 112 divisors (see below), whose sum is σ = 254459232. Its totient is φ = 18989056.

The previous prime is 75675833. The next prime is 75675889. The reversal of 75675840 is 4857657.

It is a junction number, because it is equal to n+sod(n) for n = 75675792 and 75675801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14002 + ... + 18638.

Almost surely, 2^75675840 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 75675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127229616).

75675840 is an abundant number, since it is smaller than the sum of its proper divisors (178783392).

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

75675840 is a wasteful number, since it uses less digits than its factorization.

75675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4674 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 75675840 is about 8699.1861688321. The cubic root of 75675840 is about 422.9792700916.

The spelling of 75675840 in words is "seventy-five million, six hundred seventy-five thousand, eight hundred forty".