75679459801 has 27 divisors (see below), whose sum is σ = 84430484509. Its totient is φ = 67784393600.

The previous prime is 75679459789. The next prime is 75679459853. The reversal of 75679459801 is 10895497657.

The square root of 75679459801 is 275099.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1738973401 + 73940486400 = 41701^2 + 271920^2 .

It is not a de Polignac number, because 75679459801 - 2⁵ = 75679459769 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75679459801.

It is not an unprimeable number, because it can be changed into a prime (75679459871) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 269321781 + ... + 269322061.

Almost surely, 2^75679459801 is an apocalyptic number.

75679459801 is the 275099-th square number.

75679459801 is the 137550-th centered octagonal number.

It is an amenable number.

75679459801 is a deficient number, since it is larger than the sum of its proper divisors (8751024708).

75679459801 is an frugal number, since it uses more digits than its factorization.

75679459801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 61.

The spelling of 75679459801 in words is "seventy-five billion, six hundred seventy-nine million, four hundred fifty-nine thousand, eight hundred one".