762008042 has 16 divisors (see below), whose sum is σ = 1181266632. Its totient is φ = 368417280.

The previous prime is 762008029. The next prime is 762008059. The reversal of 762008042 is 240800267.

It can be written as a sum of positive squares in 4 ways, for example, as 459630721 + 302377321 = 21439^2 + 17389^2 .

It is a junction number, because it is equal to n+sod(n) for n = 762007996 and 762008014.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 31853 + ... + 50384.

Almost surely, 2^762008042 is an apocalyptic number.

762008042 is a deficient number, since it is larger than the sum of its proper divisors (419258590).

762008042 is a wasteful number, since it uses less digits than its factorization.

762008042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82393.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 762008042 is about 27604.4931487611. The cubic root of 762008042 is about 913.3835483370.

The spelling of 762008042 in words is "seven hundred sixty-two million, eight thousand, forty-two".