826320382765 has 8 divisors (see below), whose sum is σ = 991609549848. Its totient is φ = 661039579200.

The previous prime is 826320382753. The next prime is 826320382777. The reversal of 826320382765 is 567283023628.

It is an interprime number because it is at equal distance from previous prime (826320382753) and next prime (826320382777).

It can be written as a sum of positive squares in 4 ways, for example, as 89337623236 + 736982759529 = 298894^2 + 858477^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 826320382765 - 2²⁷ = 826186165037 is a prime.

It is a super-2 number, since 2×826320382765² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1871422 + ... + 2270431.

It is an arithmetic number, because the mean of its divisors is an integer number (123951193731).

Almost surely, 2^826320382765 is an apocalyptic number.

It is an amenable number.

826320382765 is a deficient number, since it is larger than the sum of its proper divisors (165289167083).

826320382765 is a wasteful number, since it uses less digits than its factorization.

826320382765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181759.

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 826320382765 in words is "eight hundred twenty-six billion, three hundred twenty million, three hundred eighty-two thousand, seven hundred sixty-five".