766438680 has 256 divisors, whose sum is σ = 2762035200. Its totient is φ = 166440960.

The previous prime is 766438649. The next prime is 766438697. The reversal of 766438680 is 86834667.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1778065 + ... + 1778495.

It is an arithmetic number, because the mean of its divisors is an integer number (10789200).

Almost surely, 2^766438680 is an apocalyptic number.

766438680 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 766438680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381017600).

766438680 is an abundant number, since it is smaller than the sum of its proper divisors (1995596520).

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

766438680 is a wasteful number, since it uses less digits than its factorization.

766438680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 766438680 is about 27684.6289482088. The cubic root of 766438680 is about 915.1503948196.

The spelling of 766438680 in words is "seven hundred sixty-six million, four hundred thirty-eight thousand, six hundred eighty".