877667 has 8 divisors (see below), whose sum is σ = 1056000. Its totient is φ = 712584.

The previous prime is 877661. The next prime is 877699. The reversal of 877667 is 766778.

877667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 877667 - 2⁴ = 877651 is a prime.

It is a super-4 number, since 4×877667⁴ (a number of 25 digits) contains 4444 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 877667.

It is not an unprimeable number, because it can be changed into a prime (877661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3167 + ... + 3432.

It is an arithmetic number, because the mean of its divisors is an integer number (132000).

2⁸⁷⁷⁶⁶⁷ is an apocalyptic number.

877667 is a deficient number, since it is larger than the sum of its proper divisors (178333).

877667 is a wasteful number, since it uses less digits than its factorization.

877667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625.

The product of its digits is 98784, while the sum is 41.

The square root of 877667 is about 936.8388335247. The cubic root of 877667 is about 95.7436374778.

Subtracting from 877667 its reverse (766778), we obtain a square (110889 = 333²).

The spelling of 877667 in words is "eight hundred seventy-seven thousand, six hundred sixty-seven".