766604640 has 96 divisors (see below), whose sum is σ = 2420863200. Its totient is φ = 203915264.

The previous prime is 766604627. The next prime is 766604659. The reversal of 766604640 is 46406667.

766604640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213742 + ... + 217298.

It is an arithmetic number, because the mean of its divisors is an integer number (25217325).

Almost surely, 2^766604640 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 766604640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210431600).

766604640 is an abundant number, since it is smaller than the sum of its proper divisors (1654258560).

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

766604640 is a wasteful number, since it uses less digits than its factorization.

766604640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 766604640 is about 27687.6261170943. The cubic root of 766604640 is about 915.2164437646.

The spelling of 766604640 in words is "seven hundred sixty-six million, six hundred four thousand, six hundred forty".