767045968 has 40 divisors (see below), whose sum is σ = 1606537800. Its totient is φ = 352679424.

The previous prime is 767045953. The next prime is 767046013. The reversal of 767045968 is 869540767.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 752514624 = 3812^2 + 27432^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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 7 ways as a sum of consecutive naturals, for example, 49098 + ... + 62806.

It is an arithmetic number, because the mean of its divisors is an integer number (40163445).

Almost surely, 2^767045968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 767045968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803268900).

767045968 is an abundant number, since it is smaller than the sum of its proper divisors (839491832).

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

767045968 is a wasteful number, since it uses less digits than its factorization.

767045968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13999 (or 13993 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The square root of 767045968 is about 27695.5947399582. The cubic root of 767045968 is about 915.3920376048.

The spelling of 767045968 in words is "seven hundred sixty-seven million, forty-five thousand, nine hundred sixty-eight".