766676880 has 160 divisors (see below), whose sum is σ = 2796249600. Its totient is φ = 192411648.

The previous prime is 766676843. The next prime is 766676881. The reversal of 766676880 is 88676667.

766676880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (766676881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26281 + ... + 47159.

It is an arithmetic number, because the mean of its divisors is an integer number (17476560).

Almost surely, 2^766676880 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 766676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398124800).

766676880 is an abundant number, since it is smaller than the sum of its proper divisors (2029572720).

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

766676880 is a wasteful number, since it uses less digits than its factorization.

766676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20918 (or 20906 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 766676880 is about 27688.9306402396. The cubic root of 766676880 is about 915.2451909422.

The spelling of 766676880 in words is "seven hundred sixty-six million, six hundred seventy-six thousand, eight hundred eighty".