766438560 has 72 divisors (see below), whose sum is σ = 2615476500. Its totient is φ = 204383232.

The previous prime is 766438559. The next prime is 766438583. The reversal of 766438560 is 65834667.

It can be written as a sum of positive squares in 2 ways, for example, as 762422544 + 4016016 = 27612^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 264685 + ... + 267564.

Almost surely, 2^766438560 is an apocalyptic number.

It is an amenable number.

766438560 is an abundant number, since it is smaller than the sum of its proper divisors (1849037940).

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

766438560 is a wasteful number, since it uses less digits than its factorization.

766438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532270 (or 532259 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 766438560 is about 27684.6267809411. The cubic root of 766438560 is about 915.1503470584.

The spelling of 766438560 in words is "seven hundred sixty-six million, four hundred thirty-eight thousand, five hundred sixty".