876764 has 24 divisors (see below), whose sum is σ = 1773408. Its totient is φ = 371520.

The previous prime is 876761. The next prime is 876769. The reversal of 876764 is 467678.

876764 = T₄₉₇ + T₄₉₈ + ... + T₅₀₃.

876764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×876764² = 1537430223392, which contains 22 as substring.

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 876764.

It is not an unprimeable number, because it can be changed into a prime (876761) 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, 4754 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (73892).

2⁸⁷⁶⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

876764 is an abundant number, since it is smaller than the sum of its proper divisors (896644).

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

876764 is a wasteful number, since it uses less digits than its factorization.

876764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 363 counting only the distinct ones).

The product of its digits is 56448, while the sum is 38.

The square root of 876764 is about 936.3567696130. The cubic root of 876764 is about 95.7107904822.

The spelling of 876764 in words is "eight hundred seventy-six thousand, seven hundred sixty-four".