906779742 has 64 divisors (see below), whose sum is σ = 2051149824. Its totient is φ = 264860640.

The previous prime is 906779737. The next prime is 906779747. The reversal of 906779742 is 247977609.

It is a happy number.

906779742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (906779737) and next prime (906779747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906779747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205653 + ... + 210015.

It is an arithmetic number, because the mean of its divisors is an integer number (32049216).

Almost surely, 2^906779742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906779742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025574912).

906779742 is an abundant number, since it is smaller than the sum of its proper divisors (1144370082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

906779742 is a wasteful number, since it uses less digits than its factorization.

906779742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493.

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 906779742 is about 30112.7836972937. The cubic root of 906779742 is about 967.9076812158.

The spelling of 906779742 in words is "nine hundred six million, seven hundred seventy-nine thousand, seven hundred forty-two".