877464 has 48 divisors (see below), whose sum is σ = 2717520. Its totient is φ = 250560.

The previous prime is 877463. The next prime is 877469. The reversal of 877464 is 464778.

It is a happy number.

877464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 8³ + 7⁴ + 4⁴ + 7⁷ + 6⁶ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (56615).

2⁸⁷⁷⁴⁶⁴ is an apocalyptic number.

877464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

877464 is an abundant number, since it is smaller than the sum of its proper divisors (1840056).

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

877464 is a wasteful number, since it uses less digits than its factorization.

877464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1760 (or 1753 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 877464 is about 936.7304841842. The cubic root of 877464 is about 95.7362552333.

Subtracting from 877464 its reverse (464778), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 877464 in words is "eight hundred seventy-seven thousand, four hundred sixty-four".