687718080 has 448 divisors, whose sum is σ = 2826593280. Its totient is φ = 154165248.

The previous prime is 687718079. The next prime is 687718099. The reversal of 687718080 is 80817786.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5019772 + ... + 5019908.

It is an arithmetic number, because the mean of its divisors is an integer number (6309360).

Almost surely, 2^687718080 is an apocalyptic number.

687718080 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 687718080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413296640).

687718080 is an abundant number, since it is smaller than the sum of its proper divisors (2138875200).

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

687718080 is a wasteful number, since it uses less digits than its factorization.

687718080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 687718080 is about 26224.3794969490. The cubic root of 687718080 is about 882.6803949798.

The spelling of 687718080 in words is "six hundred eighty-seven million, seven hundred eighteen thousand, eighty".