683872800 has 288 divisors, whose sum is σ = 2504089728. Its totient is φ = 160849920.

The previous prime is 683872799. The next prime is 683872801. The reversal of 683872800 is 8278386.

It is an interprime number because it is at equal distance from previous prime (683872799) and next prime (683872801).

It is not an unprimeable number, because it can be changed into a prime (683872801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717124 + ... + 718076.

It is an arithmetic number, because the mean of its divisors is an integer number (8694756).

Almost surely, 2^683872800 is an apocalyptic number.

683872800 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 683872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252044864).

683872800 is an abundant number, since it is smaller than the sum of its proper divisors (1820216928).

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

683872800 is a wasteful number, since it uses less digits than its factorization.

683872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 683872800 is about 26150.9617413968. The cubic root of 683872800 is about 881.0321910279.

The spelling of 683872800 in words is "six hundred eighty-three million, eight hundred seventy-two thousand, eight hundred".