8405761265 has 64 divisors (see below), whose sum is σ = 11906237952. Its totient is φ = 5628825600.

The previous prime is 8405761237. The next prime is 8405761267. The reversal of 8405761265 is 5621675048.

It is not a de Polignac number, because 8405761265 - 2⁸ = 8405761009 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8405761267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16711004 + ... + 16711506.

It is an arithmetic number, because the mean of its divisors is an integer number (186034968).

Almost surely, 2^8405761265 is an apocalyptic number.

8405761265 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8405761265 is a deficient number, since it is larger than the sum of its proper divisors (3500476687).

8405761265 is a wasteful number, since it uses less digits than its factorization.

8405761265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890.

The product of its (nonzero) digits is 403200, while the sum is 44.

The square root of 8405761265 is about 91682.9387890681. The cubic root of 8405761265 is about 2033.2573477980.

The spelling of 8405761265 in words is "eight billion, four hundred five million, seven hundred sixty-one thousand, two hundred sixty-five".