765766632960 has 960 divisors, whose sum is σ = 3102743090304. Its totient is φ = 170930995200.

The previous prime is 765766632947. The next prime is 765766632997. The reversal of 765766632960 is 69236667567.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2725148020 + ... + 2725148300.

Almost surely, 2^765766632960 is an apocalyptic number.

765766632960 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 765766632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551371545152).

765766632960 is an abundant number, since it is smaller than the sum of its proper divisors (2336976457344).

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

765766632960 is a wasteful number, since it uses less digits than its factorization.

765766632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 765766632960 in words is "seven hundred sixty-five billion, seven hundred sixty-six million, six hundred thirty-two thousand, nine hundred sixty".