765727488 has 216 divisors, whose sum is σ = 2314952640. Its totient is φ = 243210240.

The previous prime is 765727483. The next prime is 765727511. The reversal of 765727488 is 884727567.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (765727483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5845183 + ... + 5845313.

Almost surely, 2^765727488 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 765727488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157476320).

765727488 is an abundant number, since it is smaller than the sum of its proper divisors (1549225152).

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

765727488 is a wasteful number, since it uses less digits than its factorization.

765727488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 238 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 765727488 is about 27671.7814388593. The cubic root of 765727488 is about 914.8672458122.

The spelling of 765727488 in words is "seven hundred sixty-five million, seven hundred twenty-seven thousand, four hundred eighty-eight".