682790500 has 216 divisors, whose sum is σ = 1854248760. Its totient is φ = 218736000.

The previous prime is 682790491. The next prime is 682790509. The reversal of 682790500 is 5097286.

It is an interprime number because it is at equal distance from previous prime (682790491) and next prime (682790509).

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 655667236 = 5208^2 + 25606^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 682790500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682790509) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22025485 + ... + 22025515.

It is an arithmetic number, because the mean of its divisors is an integer number (8584485).

Almost surely, 2^682790500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682790500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927124380).

682790500 is an abundant number, since it is smaller than the sum of its proper divisors (1171458260).

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

682790500 is a wasteful number, since it uses less digits than its factorization.

682790500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 682790500 is about 26130.2602359793. The cubic root of 682790500 is about 880.5671705303.

The spelling of 682790500 in words is "six hundred eighty-two million, seven hundred ninety thousand, five hundred".