766240000 has 90 divisors (see below), whose sum is σ = 1911645890. Its totient is φ = 306432000.

The previous prime is 766239983. The next prime is 766240003. The reversal of 766240000 is 42667.

It can be written as a sum of positive squares in 5 ways, for example, as 496754944 + 269485056 = 22288^2 + 16416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766240003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 157606 + ... + 162394.

Almost surely, 2^766240000 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 766240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955822945).

766240000 is an abundant number, since it is smaller than the sum of its proper divisors (1145405890).

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

766240000 is an frugal number, since it uses more digits than its factorization.

766240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 766240000 is about 27681.0404428735. The cubic root of 766240000 is about 915.0713113920.

Adding to 766240000 its reverse (42667), we get a palindrome (766282667).

The spelling of 766240000 in words is "seven hundred sixty-six million, two hundred forty thousand".