677824 has 56 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 270336.

The previous prime is 677813. The next prime is 677827. The reversal of 677824 is 428776.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a nialpdrome in base 7.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 677824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677827) 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, 7572 + ... + 7660.

2⁶⁷⁷⁸²⁴ is an apocalyptic number.

677824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

677824 is an abundant number, since it is smaller than the sum of its proper divisors (968096).

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

677824 is a wasteful number, since it uses less digits than its factorization.

677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 677824 is about 823.3006741161. The cubic root of 677824 is about 87.8426941796.

The spelling of 677824 in words is "six hundred seventy-seven thousand, eight hundred twenty-four".