766555104 has 144 divisors (see below), whose sum is σ = 2378242944. Its totient is φ = 211772160.

The previous prime is 766555051. The next prime is 766555151. The reversal of 766555104 is 401555667.

766555104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645199 + ... + 646385.

It is an arithmetic number, because the mean of its divisors is an integer number (16515576).

Almost surely, 2^766555104 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 766555104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189121472).

766555104 is an abundant number, since it is smaller than the sum of its proper divisors (1611687840).

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

766555104 is a wasteful number, since it uses less digits than its factorization.

766555104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 766555104 is about 27686.7315514129. The cubic root of 766555104 is about 915.1967303704.

The spelling of 766555104 in words is "seven hundred sixty-six million, five hundred fifty-five thousand, one hundred four".