76309965 has 16 divisors (see below), whose sum is σ = 135662400. Its totient is φ = 40698576.

The previous prime is 76309949. The next prime is 76310009. The reversal of 76309965 is 56990367.

76309965 is a `hidden beast` number, since 7 + 630 + 9 + 9 + 6 + 5 = 666.

It is not a de Polignac number, because 76309965 - 2⁴ = 76309949 is a prime.

It is a super-3 number, since 3×76309965³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 76309965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282495 + ... + 282764.

It is an arithmetic number, because the mean of its divisors is an integer number (8478900).

Almost surely, 2^76309965 is an apocalyptic number.

It is an amenable number.

76309965 is a deficient number, since it is larger than the sum of its proper divisors (59352435).

76309965 is a wasteful number, since it uses less digits than its factorization.

76309965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565273 (or 565267 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 76309965 is about 8735.5575093980. The cubic root of 76309965 is about 424.1574356761.

The spelling of 76309965 in words is "seventy-six million, three hundred nine thousand, nine hundred sixty-five".