75980544 has 144 divisors (see below), whose sum is σ = 219770880. Its totient is φ = 23224320.

The previous prime is 75980539. The next prime is 75980549. The reversal of 75980544 is 44508957.

It is an interprime number because it is at equal distance from previous prime (75980539) and next prime (75980549).

It is a junction number, because it is equal to n+sod(n) for n = 75980496 and 75980505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75980549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598209 + ... + 598335.

Almost surely, 2^75980544 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 75980544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885440).

75980544 is an abundant number, since it is smaller than the sum of its proper divisors (143790336).

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

75980544 is a wasteful number, since it uses less digits than its factorization.

75980544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

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

The square root of 75980544 is about 8716.6819375265. The cubic root of 75980544 is about 423.5462096460.

The spelling of 75980544 in words is "seventy-five million, nine hundred eighty thousand, five hundred forty-four".