676190880 has 288 divisors, whose sum is σ = 2404007424. Its totient is φ = 172965888.

The previous prime is 676190843. The next prime is 676190891. The reversal of 676190880 is 88091676.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 6564909 + ... + 6565011.

It is an arithmetic number, because the mean of its divisors is an integer number (8347248).

Almost surely, 2^676190880 is an apocalyptic number.

676190880 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 676190880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202003712).

676190880 is an abundant number, since it is smaller than the sum of its proper divisors (1727816544).

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

676190880 is a wasteful number, since it uses less digits than its factorization.

676190880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 676190880 is about 26003.6705101414. The cubic root of 676190880 is about 877.7208930835.

The spelling of 676190880 in words is "six hundred seventy-six million, one hundred ninety thousand, eight hundred eighty".