75739680 has 144 divisors (see below), whose sum is σ = 260933400. Its totient is φ = 20004864.

The previous prime is 75739673. The next prime is 75739687. The reversal of 75739680 is 8693757.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75739673) and next prime (75739687).

It can be written as a sum of positive squares in 4 ways, for example, as 42146064 + 33593616 = 6492^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75739687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214384 + ... + 214736.

Almost surely, 2^75739680 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 75739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130466700).

75739680 is an abundant number, since it is smaller than the sum of its proper divisors (185193720).

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

75739680 is a wasteful number, since it uses less digits than its factorization.

75739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 75739680 is about 8702.8547040612. The cubic root of 75739680 is about 423.0981781735.

The spelling of 75739680 in words is "seventy-five million, seven hundred thirty-nine thousand, six hundred eighty".