676657800 has 768 divisors, whose sum is σ = 3074803200. Its totient is φ = 134369280.

The previous prime is 676657777. The next prime is 676657819. The reversal of 676657800 is 8756676.

676657800 is a `hidden beast` number, since 6 + 76 + 6 + 578 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39803392 + ... + 39803408.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 2^676657800 is an apocalyptic number.

676657800 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 676657800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537401600).

676657800 is an abundant number, since it is smaller than the sum of its proper divisors (2398145400).

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

676657800 is a wasteful number, since it uses less digits than its factorization.

676657800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 676657800 is about 26012.6469241406. The cubic root of 676657800 is about 877.9228731050.

The spelling of 676657800 in words is "six hundred seventy-six million, six hundred fifty-seven thousand, eight hundred".