765632640 has 128 divisors (see below), whose sum is σ = 2466213120. Its totient is φ = 202014720.

The previous prime is 765632639. The next prime is 765632653. The reversal of 765632640 is 46236567.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184185 + ... + 188295.

It is an arithmetic number, because the mean of its divisors is an integer number (19267290).

Almost surely, 2^765632640 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 765632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233106560).

765632640 is an abundant number, since it is smaller than the sum of its proper divisors (1700580480).

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

765632640 is a wasteful number, since it uses less digits than its factorization.

765632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 765632640 is about 27670.0675821365. The cubic root of 765632640 is about 914.8294704448.

The spelling of 765632640 in words is "seven hundred sixty-five million, six hundred thirty-two thousand, six hundred forty".