766376420 has 48 divisors (see below), whose sum is σ = 1674559488. Its totient is φ = 294295680.

The previous prime is 766376357. The next prime is 766376453. The reversal of 766376420 is 24673667.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73874 + ... + 83606.

It is an arithmetic number, because the mean of its divisors is an integer number (34886656).

Almost surely, 2^766376420 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 766376420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837279744).

766376420 is an abundant number, since it is smaller than the sum of its proper divisors (908183068).

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

766376420 is a wasteful number, since it uses less digits than its factorization.

766376420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The square root of 766376420 is about 27683.5044746867. The cubic root of 766376420 is about 915.1256140563.

The spelling of 766376420 in words is "seven hundred sixty-six million, three hundred seventy-six thousand, four hundred twenty".