767664 has 40 divisors (see below), whose sum is σ = 2204720. Its totient is φ = 255744.

The previous prime is 767647. The next prime is 767677. The reversal of 767664 is 466767.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

767664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 457 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (55118).

2⁷⁶⁷⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

767664 is an abundant number, since it is smaller than the sum of its proper divisors (1437056).

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

767664 is a wasteful number, since it uses less digits than its factorization.

767664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1782 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 767664 is about 876.1643681410. The cubic root of 767664 is about 91.5637824567.

Adding to 767664 its product of digits (42336), we get a 4-th power (810000 = 30⁴).

It can be divided in two parts, 767 and 664, that added together give a triangular number (1431 = T₅₃).

The spelling of 767664 in words is "seven hundred sixty-seven thousand, six hundred sixty-four".