687770784 has 96 divisors (see below), whose sum is σ = 2010960000. Its totient is φ = 228690432.

The previous prime is 687770737. The next prime is 687770801. The reversal of 687770784 is 487077786.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 687770784.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490917 + ... + 492315.

It is an arithmetic number, because the mean of its divisors is an integer number (20947500).

Almost surely, 2^687770784 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 687770784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005480000).

687770784 is an abundant number, since it is smaller than the sum of its proper divisors (1323189216).

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

687770784 is a wasteful number, since it uses less digits than its factorization.

687770784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1973 counting only the distinct ones).

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

The square root of 687770784 is about 26225.3843441807. The cubic root of 687770784 is about 882.7029427847.

The spelling of 687770784 in words is "six hundred eighty-seven million, seven hundred seventy thousand, seven hundred eighty-four".