679528080 has 720 divisors, whose sum is σ = 3096123264. Its totient is φ = 131604480.

The previous prime is 679528079. The next prime is 679528207. The reversal of 679528080 is 80825976.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×679528080³ (a number of 27 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6597309 + ... + 6597411.

Almost surely, 2^679528080 is an apocalyptic number.

679528080 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 679528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548061632).

679528080 is an abundant number, since it is smaller than the sum of its proper divisors (2416595184).

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

679528080 is a wasteful number, since it uses less digits than its factorization.

679528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 679528080 is about 26067.7593973859. The cubic root of 679528080 is about 879.1624607013.

The spelling of 679528080 in words is "six hundred seventy-nine million, five hundred twenty-eight thousand, eighty".