766282842000 has 800 divisors, whose sum is σ = 2999813937120. Its totient is φ = 188535859200.

The previous prime is 766282841993. The next prime is 766282842001. The reversal of 766282842000 is 248282667.

It can be written as a sum of positive squares in 16 ways, for example, as 477359391744 + 288923450256 = 690912^2 + 537516^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766282842001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 355912924 + ... + 355915076.

Almost surely, 2^766282842000 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 766282842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499906968560).

766282842000 is an abundant number, since it is smaller than the sum of its proper divisors (2233531095120).

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

766282842000 is a wasteful number, since it uses less digits than its factorization.

766282842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 766282842000 in words is "seven hundred sixty-six billion, two hundred eighty-two million, eight hundred forty-two thousand".