765649609120 has 288 divisors, whose sum is σ = 2113892194176. Its totient is φ = 261280081920.

The previous prime is 765649609031. The next prime is 765649609129. The reversal of 765649609120 is 21906946567.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (765649609129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23583619 + ... + 23616061.

It is an arithmetic number, because the mean of its divisors is an integer number (7339903452).

Almost surely, 2^765649609120 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 765649609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056946097088).

765649609120 is an abundant number, since it is smaller than the sum of its proper divisors (1348242585056).

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

765649609120 is a wasteful number, since it uses less digits than its factorization.

765649609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32556 (or 32537 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 765649609120 in words is "seven hundred sixty-five billion, six hundred forty-nine million, six hundred nine thousand, one hundred twenty".