77378133 has 16 divisors (see below), whose sum is σ = 118098560. Its totient is φ = 44145216.

The previous prime is 77378129. The next prime is 77378153. The reversal of 77378133 is 33187377.

It is a happy number.

It is not a de Polignac number, because 77378133 - 2² = 77378129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 77378091 and 77378100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77378123) 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 15 ways as a sum of consecutive naturals, for example, 12291 + ... + 17487.

It is an arithmetic number, because the mean of its divisors is an integer number (7381160).

Almost surely, 2^77378133 is an apocalyptic number.

It is an amenable number.

77378133 is a deficient number, since it is larger than the sum of its proper divisors (40720427).

77378133 is a wasteful number, since it uses less digits than its factorization.

77378133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5916.

The product of its digits is 74088, while the sum is 39.

The square root of 77378133 is about 8796.4841271954. The cubic root of 77378133 is about 426.1273561780.

The spelling of 77378133 in words is "seventy-seven million, three hundred seventy-eight thousand, one hundred thirty-three".