766106000 has 160 divisors (see below), whose sum is σ = 2047368960. Its totient is φ = 274944000.

The previous prime is 766105997. The next prime is 766106023. The reversal of 766106000 is 601667.

766106000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2133821 + ... + 2134179.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2^766106000 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 766106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

766106000 is an abundant number, since it is smaller than the sum of its proper divisors (1281262960).

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

766106000 is a wasteful number, since it uses less digits than its factorization.

766106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 766106000 is about 27678.6199077916. The cubic root of 766106000 is about 915.0179657456.

Adding to 766106000 its reverse (601667), we get a palindrome (766707667).

The spelling of 766106000 in words is "seven hundred sixty-six million, one hundred six thousand".