766572736 has 56 divisors (see below), whose sum is σ = 1564355520. Its totient is φ = 372480000.

The previous prime is 766572713. The next prime is 766572767. The reversal of 766572736 is 637275667.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 766572736.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1020361 + ... + 1021111.

It is an arithmetic number, because the mean of its divisors is an integer number (27934920).

Almost surely, 2^766572736 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 766572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782177760).

766572736 is an abundant number, since it is smaller than the sum of its proper divisors (797782784).

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

766572736 is a wasteful number, since it uses less digits than its factorization.

766572736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1183 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 49.

The square root of 766572736 is about 27687.0499692546. The cubic root of 766572736 is about 915.2037473154.

The spelling of 766572736 in words is "seven hundred sixty-six million, five hundred seventy-two thousand, seven hundred thirty-six".