683078880 has 288 divisors, whose sum is σ = 2493590400. Its totient is φ = 156625920.

The previous prime is 683078821. The next prime is 683078881. The reversal of 683078880 is 88870386.

683078880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683078881) 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, 1103211 + ... + 1103829.

It is an arithmetic number, because the mean of its divisors is an integer number (8658300).

Almost surely, 2^683078880 is an apocalyptic number.

683078880 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 683078880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

683078880 is an abundant number, since it is smaller than the sum of its proper divisors (1810511520).

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

683078880 is a wasteful number, since it uses less digits than its factorization.

683078880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 683078880 is about 26135.7777768330. Note that the first 5 decimals coincide. The cubic root of 683078880 is about 880.6911237382.

The spelling of 683078880 in words is "six hundred eighty-three million, seventy-eight thousand, eight hundred eighty".