800389676025 has 135 divisors (see below), whose sum is σ = 1521011094031. Its totient is φ = 417792057840.

The previous prime is 800389675937. The next prime is 800389676063. The reversal of 800389676025 is 520676983008.

It is a happy number.

The square root of 800389676025 is 894645.

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

It can be written as a sum of positive squares in only one way, i.e., 288140283369 + 512249392656 = 536787^2 + 715716^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a de Polignac number, because none of the positive numbers 2^k-800389676025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17029567552 + ... + 17029567598.

Almost surely, 2^800389676025 is an apocalyptic number.

800389676025 is the 894645-th square number.

800389676025 is the 447323-rd centered octagonal number.

It is an amenable number.

800389676025 is a deficient number, since it is larger than the sum of its proper divisors (720621418006).

800389676025 is an frugal number, since it uses more digits than its factorization.

800389676025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 800389676025 in words is "eight hundred billion, three hundred eighty-nine million, six hundred seventy-six thousand, twenty-five".