876401 has 8 divisors (see below), whose sum is σ = 958464. Its totient is φ = 797760.

The previous prime is 876373. The next prime is 876431. The reversal of 876401 is 104678.

876401 = 219² + 220² + ... + 235².

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 876401 - 2¹⁰ = 875377 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876401.

It is not an unprimeable number, because it can be changed into a prime (876431) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 305 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (119808).

2⁸⁷⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

876401 is a deficient number, since it is larger than the sum of its proper divisors (82063).

876401 is a wasteful number, since it uses less digits than its factorization.

876401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711.

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 876401 is about 936.1629131727. The cubic root of 876401 is about 95.6975798528.

The spelling of 876401 in words is "eight hundred seventy-six thousand, four hundred one".