765348640 has 144 divisors (see below), whose sum is σ = 2155548024. Its totient is φ = 255897600.

The previous prime is 765348631. The next prime is 765348659. The reversal of 765348640 is 46843567.

It can be written as a sum of positive squares in 4 ways, for example, as 142945936 + 622402704 = 11956^2 + 24948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320250 + ... + 322630.

Almost surely, 2^765348640 is an apocalyptic number.

765348640 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 765348640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077774012).

765348640 is an abundant number, since it is smaller than the sum of its proper divisors (1390199384).

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

765348640 is a wasteful number, since it uses less digits than its factorization.

765348640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2436 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The square root of 765348640 is about 27664.9352068643. The cubic root of 765348640 is about 914.7163423435.

The spelling of 765348640 in words is "seven hundred sixty-five million, three hundred forty-eight thousand, six hundred forty".