765313248 has 192 divisors, whose sum is σ = 2399362560. Its totient is φ = 208975872.

The previous prime is 765313231. The next prime is 765313253. The reversal of 765313248 is 842313567.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3371311 + ... + 3371537.

It is an arithmetic number, because the mean of its divisors is an integer number (12496680).

Almost surely, 2^765313248 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 765313248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199681280).

765313248 is an abundant number, since it is smaller than the sum of its proper divisors (1634049312).

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

765313248 is a wasteful number, since it uses less digits than its factorization.

765313248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 765313248 is about 27664.2955449800. The cubic root of 765313248 is about 914.7022423904.

The spelling of 765313248 in words is "seven hundred sixty-five million, three hundred thirteen thousand, two hundred forty-eight".