769633326 has 240 divisors, whose sum is σ = 2224696320. Its totient is φ = 194594400.

The previous prime is 769633309. The next prime is 769633327. The reversal of 769633326 is 623336967.

769633326 is a `hidden beast` number, since 7 + 6 + 9 + 633 + 3 + 2 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769633327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9742155 + ... + 9742233.

It is an arithmetic number, because the mean of its divisors is an integer number (9269568).

Almost surely, 2^769633326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769633326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112348160).

769633326 is an abundant number, since it is smaller than the sum of its proper divisors (1455062994).

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

769633326 is a wasteful number, since it uses less digits than its factorization.

769633326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The square root of 769633326 is about 27742.2660574078. The cubic root of 769633326 is about 916.4201328128.

The spelling of 769633326 in words is "seven hundred sixty-nine million, six hundred thirty-three thousand, three hundred twenty-six".