765264240 has 160 divisors (see below), whose sum is σ = 2838776640. Its totient is φ = 188365824.

The previous prime is 765264239. The next prime is 765264259. The reversal of 765264240 is 42462567.

765264240 is a `hidden beast` number, since 7 + 6 + 5 + 2 + 642 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 765264195 and 765264204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14454 + ... + 41706.

It is an arithmetic number, because the mean of its divisors is an integer number (17742354).

Almost surely, 2^765264240 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 765264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419388320).

765264240 is an abundant number, since it is smaller than the sum of its proper divisors (2073512400).

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

765264240 is a wasteful number, since it uses less digits than its factorization.

765264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27288 (or 27276 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 765264240 is about 27663.4097681396. The cubic root of 765264240 is about 914.6827171896.

The spelling of 765264240 in words is "seven hundred sixty-five million, two hundred sixty-four thousand, two hundred forty".