676285200 has 150 divisors (see below), whose sum is σ = 2427249594. Its totient is φ = 180334080.

The previous prime is 676285189. The next prime is 676285217. The reversal of 676285200 is 2582676.

676285200 is a `hidden beast` number, since 6 + 7 + 628 + 5 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17438976 + 658846224 = 4176^2 + 25668^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21964 + ... + 42836.

Almost surely, 2^676285200 is an apocalyptic number.

676285200 is a gapful number since it is divisible by the number (60) 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 676285200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213624797).

676285200 is an abundant number, since it is smaller than the sum of its proper divisors (1750964394).

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

676285200 is a wasteful number, since it uses less digits than its factorization.

676285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20903 (or 20883 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 676285200 is about 26005.4840370257. The cubic root of 676285200 is about 877.7617014746.

The spelling of 676285200 in words is "six hundred seventy-six million, two hundred eighty-five thousand, two hundred".