675976080 has 320 divisors, whose sum is σ = 2419845120. Its totient is φ = 154828800.

The previous prime is 675976079. The next prime is 675976099. The reversal of 675976080 is 80679576.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2804760 + ... + 2805000.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^675976080 is an apocalyptic number.

675976080 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 675976080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209922560).

675976080 is an abundant number, since it is smaller than the sum of its proper divisors (1743869040).

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

675976080 is a wasteful number, since it uses less digits than its factorization.

675976080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 675976080 is about 25999.5399959307. The cubic root of 675976080 is about 877.6279437796.

The spelling of 675976080 in words is "six hundred seventy-five million, nine hundred seventy-six thousand, eighty".