766820223936 has 672 divisors, whose sum is σ = 2511649340928. Its totient is φ = 222037770240.

The previous prime is 766820223919. The next prime is 766820223937. The reversal of 766820223936 is 639322028667.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766820223937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931536890 + ... + 1931537286.

It is an arithmetic number, because the mean of its divisors is an integer number (3737573424).

Almost surely, 2^766820223936 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 766820223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255824670464).

766820223936 is an abundant number, since it is smaller than the sum of its proper divisors (1744829116992).

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

766820223936 is a wasteful number, since it uses less digits than its factorization.

766820223936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 766820223936 in words is "seven hundred sixty-six billion, eight hundred twenty million, two hundred twenty-three thousand, nine hundred thirty-six".