766606752 has 144 divisors (see below), whose sum is σ = 2256141888. Its totient is φ = 246758400.

The previous prime is 766606741. The next prime is 766606759. The reversal of 766606752 is 257606667.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 766606698 and 766606707.

It is not an unprimeable number, because it can be changed into a prime (766606759) 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, 1275252 + ... + 1275852.

It is an arithmetic number, because the mean of its divisors is an integer number (15667652).

Almost surely, 2^766606752 is an apocalyptic number.

766606752 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766606752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128070944).

766606752 is an abundant number, since it is smaller than the sum of its proper divisors (1489535136).

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

766606752 is a wasteful number, since it uses less digits than its factorization.

766606752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 766606752 is about 27687.6642568491. The cubic root of 766606752 is about 915.2172842392.

The spelling of 766606752 in words is "seven hundred sixty-six million, six hundred six thousand, seven hundred fifty-two".