766670100 has 144 divisors (see below), whose sum is σ = 2622748800. Its totient is φ = 169182720.

The previous prime is 766670089. The next prime is 766670137. The reversal of 766670100 is 1076667.

766670100 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 47 ways as a sum of consecutive naturals, for example, 54606 + ... + 67194.

Almost surely, 2^766670100 is an apocalyptic number.

766670100 is a gapful number since it is divisible by the number (70) 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 766670100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311374400).

766670100 is an abundant number, since it is smaller than the sum of its proper divisors (1856078700).

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

766670100 is a wasteful number, since it uses less digits than its factorization.

766670100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12642 (or 12635 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 766670100 is about 27688.8082083718. The cubic root of 766670100 is about 915.2424929865.

The spelling of 766670100 in words is "seven hundred sixty-six million, six hundred seventy thousand, one hundred".