687777408 has 96 divisors (see below), whose sum is σ = 2043100800. Its totient is φ = 221852160.

The previous prime is 687777403. The next prime is 687777413. The reversal of 687777408 is 804777786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (687777403) and next prime (687777413).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (687777403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26083 + ... + 45341.

It is an arithmetic number, because the mean of its divisors is an integer number (21282300).

Almost surely, 2^687777408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687777408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021550400).

687777408 is an abundant number, since it is smaller than the sum of its proper divisors (1355323392).

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

687777408 is a wasteful number, since it uses less digits than its factorization.

687777408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19310 (or 19295 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The square root of 687777408 is about 26225.5106337322. The cubic root of 687777408 is about 882.7057765803.

The spelling of 687777408 in words is "six hundred eighty-seven million, seven hundred seventy-seven thousand, four hundred eight".