765488640 has 320 divisors, whose sum is σ = 2899100160. Its totient is φ = 168591360.

The previous prime is 765488621. The next prime is 765488657. The reversal of 765488640 is 46884567.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 765488640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558795 + ... + 1559285.

It is an arithmetic number, because the mean of its divisors is an integer number (9059688).

Almost surely, 2^765488640 is an apocalyptic number.

765488640 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 765488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449550080).

765488640 is an abundant number, since it is smaller than the sum of its proper divisors (2133611520).

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

765488640 is a wasteful number, since it uses less digits than its factorization.

765488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 765488640 is about 27667.4653699973. The cubic root of 765488640 is about 914.7721132143.

The spelling of 765488640 in words is "seven hundred sixty-five million, four hundred eighty-eight thousand, six hundred forty".