676005120 has 432 divisors, whose sum is σ = 2732026752. Its totient is φ = 151142400.

The previous prime is 676005101. The next prime is 676005131. The reversal of 676005120 is 21500676.

676005120 is a `hidden beast` number, since 6 + 7 + 600 + 51 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6693070 + ... + 6693170.

It is an arithmetic number, because the mean of its divisors is an integer number (6324136).

Almost surely, 2^676005120 is an apocalyptic number.

676005120 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 676005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366013376).

676005120 is an abundant number, since it is smaller than the sum of its proper divisors (2056021632).

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

676005120 is a wasteful number, since it uses less digits than its factorization.

676005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 676005120 is about 26000.0984613520. The cubic root of 676005120 is about 877.6405112611.

Adding to 676005120 its reverse (21500676), we get a palindrome (697505796).

The spelling of 676005120 in words is "six hundred seventy-six million, five thousand, one hundred twenty".