76805253 has 64 divisors (see below), whose sum is σ = 136972800. Its totient is φ = 42130368.

The previous prime is 76805251. The next prime is 76805263. The reversal of 76805253 is 35250867.

It is not a de Polignac number, because 76805253 - 2¹ = 76805251 is a prime.

It is a super-3 number, since 3×76805253³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76805251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 443875 + ... + 444047.

It is an arithmetic number, because the mean of its divisors is an integer number (2140200).

Almost surely, 2^76805253 is an apocalyptic number.

It is an amenable number.

76805253 is a deficient number, since it is larger than the sum of its proper divisors (60167547).

76805253 is an equidigital number, since it uses as much as digits as its factorization.

76805253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 76805253 is about 8763.8606218949. The cubic root of 76805253 is about 425.0731186769.

The spelling of 76805253 in words is "seventy-six million, eight hundred five thousand, two hundred fifty-three".