687286080 has 448 divisors, whose sum is σ = 2713939200. Its totient is φ = 162570240.

The previous prime is 687286079. The next prime is 687286091. The reversal of 687286080 is 80682786.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3257175 + ... + 3257385.

It is an arithmetic number, because the mean of its divisors is an integer number (6057900).

Almost surely, 2^687286080 is an apocalyptic number.

687286080 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 687286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356969600).

687286080 is an abundant number, since it is smaller than the sum of its proper divisors (2026653120).

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

687286080 is a wasteful number, since it uses less digits than its factorization.

687286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

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

The square root of 687286080 is about 26216.1415925380. The cubic root of 687286080 is about 882.4955334728.

The spelling of 687286080 in words is "six hundred eighty-seven million, two hundred eighty-six thousand, eighty".