765842240 has 28 divisors (see below), whose sum is σ = 1823662596. Its totient is φ = 306336768.

The previous prime is 765842213. The next prime is 765842249. The reversal of 765842240 is 42248567.

It can be written as a sum of positive squares in 2 ways, for example, as 109662784 + 656179456 = 10472^2 + 25616^2 .

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 765842194 and 765842203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765842249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1196309 + ... + 1196948.

It is an arithmetic number, because the mean of its divisors is an integer number (65130807).

Almost surely, 2^765842240 is an apocalyptic number.

It is an amenable number.

765842240 is an abundant number, since it is smaller than the sum of its proper divisors (1057820356).

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

765842240 is a wasteful number, since it uses less digits than its factorization.

765842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393274 (or 2393264 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 765842240 is about 27673.8548091877. The cubic root of 765842240 is about 914.9129442293.

The spelling of 765842240 in words is "seven hundred sixty-five million, eight hundred forty-two thousand, two hundred forty".