766726560 has 240 divisors, whose sum is σ = 2749402656. Its totient is φ = 201180672.

The previous prime is 766726553. The next prime is 766726577. The reversal of 766726560 is 65627667.

766726560 is a `hidden beast` number, since 7 + 6 + 67 + 26 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 867879 + ... + 868761.

Almost surely, 2^766726560 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 766726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374701328).

766726560 is an abundant number, since it is smaller than the sum of its proper divisors (1982676096).

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

766726560 is a wasteful number, since it uses less digits than its factorization.

766726560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 766726560 is about 27689.8277351088. The cubic root of 766726560 is about 915.2649595480.

The spelling of 766726560 in words is "seven hundred sixty-six million, seven hundred twenty-six thousand, five hundred sixty".