766852480 has 64 divisors (see below), whose sum is σ = 1853992800. Its totient is φ = 303271936.

The previous prime is 766852451. The next prime is 766852501. The reversal of 766852480 is 84258667.

766852480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 766852480.

It is a congruent number.

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, 50229 + ... + 63691.

Almost surely, 2^766852480 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 766852480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926996400).

766852480 is an abundant number, since it is smaller than the sum of its proper divisors (1087140320).

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

766852480 is a wasteful number, since it uses less digits than its factorization.

766852480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13571 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 766852480 is about 27692.1014009410. The cubic root of 766852480 is about 915.3150616578.

The spelling of 766852480 in words is "seven hundred sixty-six million, eight hundred fifty-two thousand, four hundred eighty".