766371920 has 20 divisors (see below), whose sum is σ = 1781814900. Its totient is φ = 306548736.

The previous prime is 766371911. The next prime is 766371923. The reversal of 766371920 is 29173667.

766371920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 359785024 + 406586896 = 18968^2 + 20164^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766371923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4789745 + ... + 4789904.

It is an arithmetic number, because the mean of its divisors is an integer number (89090745).

Almost surely, 2^766371920 is an apocalyptic number.

It is an amenable number.

766371920 is an abundant number, since it is smaller than the sum of its proper divisors (1015442980).

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

766371920 is a wasteful number, since it uses less digits than its factorization.

766371920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9579662 (or 9579656 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 766371920 is about 27683.4231987303. The cubic root of 766371920 is about 915.1238229116.

The spelling of 766371920 in words is "seven hundred sixty-six million, three hundred seventy-one thousand, nine hundred twenty".