687329280 has 416 divisors, whose sum is σ = 2689269120. Its totient is φ = 165150720.

The previous prime is 687329267. The next prime is 687329287. The reversal of 687329280 is 82923786.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687329287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082504 + ... + 6082616.

Almost surely, 2^687329280 is an apocalyptic number.

687329280 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 687329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344634560).

687329280 is an abundant number, since it is smaller than the sum of its proper divisors (2001939840).

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

687329280 is a wasteful number, since it uses less digits than its factorization.

687329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 687329280 is about 26216.9654994624. The cubic root of 687329280 is about 882.5140231088.

The spelling of 687329280 in words is "six hundred eighty-seven million, three hundred twenty-nine thousand, two hundred eighty".