687026880 has 224 divisors, whose sum is σ = 2446202880. Its totient is φ = 181509120.

The previous prime is 687026861. The next prime is 687026887. The reversal of 687026880 is 88620786.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (687026887) 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 31 ways as a sum of consecutive naturals, for example, 1131537 + ... + 1132143.

Almost surely, 2^687026880 is an apocalyptic number.

687026880 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 687026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223101440).

687026880 is an abundant number, since it is smaller than the sum of its proper divisors (1759176000).

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

687026880 is a wasteful number, since it uses less digits than its factorization.

687026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 687026880 is about 26211.1976071297. The cubic root of 687026880 is about 882.3845793832.

The spelling of 687026880 in words is "six hundred eighty-seven million, twenty-six thousand, eight hundred eighty".