760768320 has 224 divisors, whose sum is σ = 2658636288. Its totient is φ = 183140352.

The previous prime is 760768297. The next prime is 760768331. The reversal of 760768320 is 23867067.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 585912 + ... + 587208.

It is an arithmetic number, because the mean of its divisors is an integer number (11868912).

Almost surely, 2^760768320 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 760768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329318144).

760768320 is an abundant number, since it is smaller than the sum of its proper divisors (1897867968).

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

760768320 is a wasteful number, since it uses less digits than its factorization.

760768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 760768320 is about 27582.0289318969. The cubic root of 760768320 is about 912.8879471329.

The spelling of 760768320 in words is "seven hundred sixty million, seven hundred sixty-eight thousand, three hundred twenty".