766801 has 6 divisors (see below), whose sum is σ = 892050. Its totient is φ = 657216.

The previous prime is 766793. The next prime is 766807. The reversal of 766801 is 108667.

It can be written as a sum of positive squares in only one way, i.e., 540225 + 226576 = 735^2 + 476^2 .

It is not a de Polignac number, because 766801 - 2³ = 766793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 766801.

It is not an unprimeable number, because it can be changed into a prime (766807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7776 + ... + 7873.

It is an arithmetic number, because the mean of its divisors is an integer number (148675).

2⁷⁶⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

766801 is a deficient number, since it is larger than the sum of its proper divisors (125249).

766801 is a wasteful number, since it uses less digits than its factorization.

766801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15663 (or 15656 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 766801 is about 875.6717421500. The cubic root of 766801 is about 91.5294579025.

The spelling of 766801 in words is "seven hundred sixty-six thousand, eight hundred one".