765493327008 has 192 divisors, whose sum is σ = 2281244152320. Its totient is φ = 249620299776.

The previous prime is 765493326977. The next prime is 765493327033. The reversal of 765493327008 is 800723394567.

765493327008 is a `hidden beast` number, since 76 + 549 + 3 + 3 + 27 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 169617360 + ... + 169621872.

It is an arithmetic number, because the mean of its divisors is an integer number (11881479960).

Almost surely, 2^765493327008 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 765493327008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140622076160).

765493327008 is an abundant number, since it is smaller than the sum of its proper divisors (1515750825312).

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

765493327008 is a wasteful number, since it uses less digits than its factorization.

765493327008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 765493327008 in words is "seven hundred sixty-five billion, four hundred ninety-three million, three hundred twenty-seven thousand, eight".