78359743 has 24 divisors (see below), whose sum is σ = 103144320. Its totient is φ = 57825360.

The previous prime is 78359731. The next prime is 78359759. The reversal of 78359743 is 34795387.

It is a happy number.

It is not a de Polignac number, because 78359743 - 2¹³ = 78351551 is a prime.

It is a super-2 number, since 2×78359743² = 12280498646052098, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 78359693 and 78359702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78359143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26388 + ... + 29206.

It is an arithmetic number, because the mean of its divisors is an integer number (4297680).

Almost surely, 2^78359743 is an apocalyptic number.

78359743 is a deficient number, since it is larger than the sum of its proper divisors (24784577).

78359743 is a wasteful number, since it uses less digits than its factorization.

78359743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2856 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The square root of 78359743 is about 8852.1038742211. The cubic root of 78359743 is about 427.9217237553.

It can be divided in two parts, 7835 and 9743, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 78359743 in words is "seventy-eight million, three hundred fifty-nine thousand, seven hundred forty-three".