75989664 has 120 divisors (see below), whose sum is σ = 235398240. Its totient is φ = 23981184.

The previous prime is 75989663. The next prime is 75989671. The reversal of 75989664 is 46698957.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 75989664.

It is not an unprimeable number, because it can be changed into a prime (75989663) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48477 + ... + 50019.

It is an arithmetic number, because the mean of its divisors is an integer number (1961652).

Almost surely, 2^75989664 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 75989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117699120).

75989664 is an abundant number, since it is smaller than the sum of its proper divisors (159408576).

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

75989664 is a wasteful number, since it uses less digits than its factorization.

75989664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1567 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 75989664 is about 8717.2050566681. The cubic root of 75989664 is about 423.5631551547.

The spelling of 75989664 in words is "seventy-five million, nine hundred eighty-nine thousand, six hundred sixty-four".