682822400 has 216 divisors, whose sum is σ = 1889514480. Its totient is φ = 242565120.

The previous prime is 682822397. The next prime is 682822403. The reversal of 682822400 is 4228286.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (682822397) and next prime (682822403).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (682822403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2412659 + ... + 2412941.

Almost surely, 2^682822400 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 682822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944757240).

682822400 is an abundant number, since it is smaller than the sum of its proper divisors (1206692080).

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

682822400 is a wasteful number, since it uses less digits than its factorization.

682822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 682822400 is about 26130.8706322618. The cubic root of 682822400 is about 880.5808836948.

The spelling of 682822400 in words is "six hundred eighty-two million, eight hundred twenty-two thousand, four hundred".