765316608000 has 1664 divisors, whose sum is σ = 3179565342720. Its totient is φ = 159488409600.

The previous prime is 765316607999. The next prime is 765316608029. The reversal of 765316608000 is 806613567.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 127 ways as a sum of consecutive naturals, for example, 9687551961 + ... + 9687552039.

It is an arithmetic number, because the mean of its divisors is an integer number (1910796480).

Almost surely, 2^765316608000 is an apocalyptic number.

765316608000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 765316608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589782671360).

765316608000 is an abundant number, since it is smaller than the sum of its proper divisors (2414248734720).

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

765316608000 is a wasteful number, since it uses less digits than its factorization.

765316608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 765316608000 in words is "seven hundred sixty-five billion, three hundred sixteen million, six hundred eight thousand".