77013405 has 48 divisors (see below), whose sum is σ = 154028160. Its totient is φ = 34867584.

The previous prime is 77013397. The next prime is 77013413. The reversal of 77013405 is 50431077.

It is an interprime number because it is at equal distance from previous prime (77013397) and next prime (77013413).

It is not a de Polignac number, because 77013405 - 2³ = 77013397 is a prime.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 33214 + ... + 35456.

It is an arithmetic number, because the mean of its divisors is an integer number (3208920).

Almost surely, 2^77013405 is an apocalyptic number.

It is an amenable number.

77013405 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

77013405 is a wasteful number, since it uses less digits than its factorization.

77013405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 77013405 is about 8775.7281749152. The cubic root of 77013405 is about 425.4567730319.

The spelling of 77013405 in words is "seventy-seven million, thirteen thousand, four hundred five".