682080000 has 540 divisors, whose sum is σ = 2729782440. Its totient is φ = 150528000.

The previous prime is 682079987. The next prime is 682080017. The reversal of 682080000 is 80286.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 23519986 + ... + 23520014.

Almost surely, 2^682080000 is an apocalyptic number.

682080000 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 682080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364891220).

682080000 is an abundant number, since it is smaller than the sum of its proper divisors (2047702440).

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

682080000 is an equidigital number, since it uses as much as digits as its factorization.

682080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 682080000 is about 26116.6613486487. The cubic root of 682080000 is about 880.2616301968.

The spelling of 682080000 in words is "six hundred eighty-two million, eighty thousand".