766748160 has 160 divisors (see below), whose sum is σ = 2723798880. Its totient is φ = 204447744.

The previous prime is 766748131. The next prime is 766748207. The reversal of 766748160 is 61847667.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63574 + ... + 74666.

It is an arithmetic number, because the mean of its divisors is an integer number (17023743).

Almost surely, 2^766748160 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 766748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361899440).

766748160 is an abundant number, since it is smaller than the sum of its proper divisors (1957050720).

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

766748160 is a wasteful number, since it uses less digits than its factorization.

766748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11103 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 766748160 is about 27690.2177672910. The cubic root of 766748160 is about 915.2735543276.

The spelling of 766748160 in words is "seven hundred sixty-six million, seven hundred forty-eight thousand, one hundred sixty".