742767 has 16 divisors (see below), whose sum is σ = 1061760. Its totient is φ = 460512.

The previous prime is 742759. The next prime is 742783. The reversal of 742767 is 767247.

It is a happy number.

It is not a de Polignac number, because 742767 - 2³ = 742759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742717) 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, 4653 + ... + 4809.

It is an arithmetic number, because the mean of its divisors is an integer number (66360).

2⁷⁴²⁷⁶⁷ is an apocalyptic number.

742767 is a deficient number, since it is larger than the sum of its proper divisors (318993).

742767 is a wasteful number, since it uses less digits than its factorization.

742767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its digits is 16464, while the sum is 33.

The square root of 742767 is about 861.8393121690. The cubic root of 742767 is about 90.5630138149.

The spelling of 742767 in words is "seven hundred forty-two thousand, seven hundred sixty-seven".