766126890 has 64 divisors (see below), whose sum is σ = 2050963200. Its totient is φ = 203504832.

The previous prime is 766126841. The next prime is 766126891. The reversal of 766126890 is 98621667.

766126890 = T₃₅₃ + T₃₅₄ + ... + T₁₆₆₇.

766126890 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 (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (766126891) 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, 65616 + ... + 76404.

It is an arithmetic number, because the mean of its divisors is an integer number (32046300).

Almost surely, 2^766126890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 766126890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025481600).

766126890 is an abundant number, since it is smaller than the sum of its proper divisors (1284836310).

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

766126890 is a wasteful number, since it uses less digits than its factorization.

766126890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11068 (or 11062 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 766126890 is about 27678.9972723002. The cubic root of 766126890 is about 915.0262825022.

The spelling of 766126890 in words is "seven hundred sixty-six million, one hundred twenty-six thousand, eight hundred ninety".