676400 has 60 divisors (see below), whose sum is σ = 1729800. Its totient is φ = 253440.

The previous prime is 676391. The next prime is 676409. The reversal of 676400 is 4676.

It is an interprime number because it is at equal distance from previous prime (676391) and next prime (676409).

It is not an unprimeable number, because it can be changed into a prime (676409) by changing a digit.

676400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7556 + ... + 7644.

It is an arithmetic number, because the mean of its divisors is an integer number (28830).

2⁶⁷⁶⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864900).

676400 is an abundant number, since it is smaller than the sum of its proper divisors (1053400).

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

676400 is a wasteful number, since it uses less digits than its factorization.

676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 676400 is about 822.4354077981. The cubic root of 676400 is about 87.7811365602.

It can be divided in two parts, 676 and 400, that multiplied together give a square (270400 = 520²).

The spelling of 676400 in words is "six hundred seventy-six thousand, four hundred".