765027864 has 96 divisors (see below), whose sum is σ = 2120489280. Its totient is φ = 249080832.

The previous prime is 765027847. The next prime is 765027869. The reversal of 765027864 is 468720567.

765027864 is a `hidden beast` number, since 76 + 502 + 78 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765027869) 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, 1652097 + ... + 1652559.

It is an arithmetic number, because the mean of its divisors is an integer number (22088430).

Almost surely, 2^765027864 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 765027864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060244640).

765027864 is an abundant number, since it is smaller than the sum of its proper divisors (1355461416).

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

765027864 is a wasteful number, since it uses less digits than its factorization.

765027864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 765027864 is about 27659.1370798151. The cubic root of 765027864 is about 914.5885312882.

The spelling of 765027864 in words is "seven hundred sixty-five million, twenty-seven thousand, eight hundred sixty-four".