7905765 has 64 divisors (see below), whose sum is σ = 15814656. Its totient is φ = 3290112.

The previous prime is 7905763. The next prime is 7905769. The reversal of 7905765 is 5675097.

7905765 = T₂₁₆ + T₂₁₇ + ... + T₃₈₅.

7905765 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7905765 - 2¹ = 7905763 is a prime.

It is a super-2 number, since 2×7905765² = 125002240470450, which contains 22 as substring.

7905765 is strictly pandigital in base 8.

7905765 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7905761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76704 + ... + 76806.

It is an arithmetic number, because the mean of its divisors is an integer number (247104).

Almost surely, 2^7905765 is an apocalyptic number.

It is an amenable number.

7905765 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

7905765 is a wasteful number, since it uses less digits than its factorization.

7905765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178.

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 7905765 is about 2811.7192249583. The cubic root of 7905765 is about 199.2116045803.

It can be divided in two parts, 790 and 5765, that added together give a triangular number (6555 = T₁₁₄).

The spelling of 7905765 in words is "seven million, nine hundred five thousand, seven hundred sixty-five".