77024133 has 12 divisors (see below), whose sum is σ = 111640620. Its totient is φ = 51172416.

The previous prime is 77024099. The next prime is 77024149. The reversal of 77024133 is 33142077.

It can be written as a sum of positive squares in 2 ways, for example, as 55845729 + 21178404 = 7473^2 + 4602^2 .

It is not a de Polignac number, because 77024133 - 2⁶ = 77024069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 77024097 and 77024106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77024153) 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 11 ways as a sum of consecutive naturals, for example, 11968 + ... + 17241.

It is an arithmetic number, because the mean of its divisors is an integer number (9303385).

Almost surely, 2^77024133 is an apocalyptic number.

It is an amenable number.

77024133 is a deficient number, since it is larger than the sum of its proper divisors (34616487).

77024133 is a wasteful number, since it uses less digits than its factorization.

77024133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29508 (or 29505 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 77024133 is about 8776.3393849600. The cubic root of 77024133 is about 425.4765275510.

The spelling of 77024133 in words is "seventy-seven million, twenty-four thousand, one hundred thirty-three".