765966240 has 384 divisors, whose sum is σ = 3017710080. Its totient is φ = 180043776.

The previous prime is 765966233. The next prime is 765966287. The reversal of 765966240 is 42669567.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1291384 + ... + 1291976.

It is an arithmetic number, because the mean of its divisors is an integer number (7858620).

Almost surely, 2^765966240 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 765966240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508855040).

765966240 is an abundant number, since it is smaller than the sum of its proper divisors (2251743840).

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

765966240 is a wasteful number, since it uses less digits than its factorization.

765966240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 765966240 is about 27676.0951002846. The cubic root of 765966240 is about 914.9623204048.

The spelling of 765966240 in words is "seven hundred sixty-five million, nine hundred sixty-six thousand, two hundred forty".