765308070240 has 384 divisors, whose sum is σ = 2789473655808. Its totient is φ = 172753551360.

The previous prime is 765308070227. The next prime is 765308070269. The reversal of 765308070240 is 42070803567.

765308070240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 765308070192 and 765308070201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169802067 + ... + 169806573.

It is an arithmetic number, because the mean of its divisors is an integer number (7264254312).

Almost surely, 2^765308070240 is an apocalyptic number.

765308070240 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 765308070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394736827904).

765308070240 is an abundant number, since it is smaller than the sum of its proper divisors (2024165585568).

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

765308070240 is a wasteful number, since it uses less digits than its factorization.

765308070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 765308070240 in words is "seven hundred sixty-five billion, three hundred eight million, seventy thousand, two hundred forty".