766112010 has 64 divisors (see below), whose sum is σ = 1915156224. Its totient is φ = 195955200.

The previous prime is 766111981. The next prime is 766112023. The reversal of 766112010 is 10211667.

766112010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×766112010² = 1173855223732480200, which contains 22 as substring.

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, 73950 + ... + 83670.

It is an arithmetic number, because the mean of its divisors is an integer number (29924316).

Almost surely, 2^766112010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957578112).

766112010 is an abundant number, since it is smaller than the sum of its proper divisors (1149044214).

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

766112010 is a wasteful number, since it uses less digits than its factorization.

766112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9839.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 766112010 is about 27678.7284751305. The cubic root of 766112010 is about 915.0203584709.

Adding to 766112010 its reverse (10211667), we get a palindrome (776323677).

The spelling of 766112010 in words is "seven hundred sixty-six million, one hundred twelve thousand, ten".