765642240 has 640 divisors, whose sum is σ = 3181939200. Its totient is φ = 172523520.

The previous prime is 765642211. The next prime is 765642263. The reversal of 765642240 is 42246567.

765642240 is a `hidden beast` number, since 7 + 6 + 5 + 642 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 765642195 and 765642204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14446054 + ... + 14446106.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2^765642240 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 765642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

765642240 is an abundant number, since it is smaller than the sum of its proper divisors (2416296960).

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

765642240 is a wasteful number, since it uses less digits than its factorization.

765642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

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

The square root of 765642240 is about 27670.2410542445. The cubic root of 765642240 is about 914.8332940045.

The spelling of 765642240 in words is "seven hundred sixty-five million, six hundred forty-two thousand, two hundred forty".