65788704 has 72 divisors (see below), whose sum is σ = 193562460. Its totient is φ = 21170688.

The previous prime is 65788703. The next prime is 65788739. The reversal of 65788704 is 40788756.

65788704 is a `hidden beast` number, since 6 + 578 + 8 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63680400 + 2108304 = 7980^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 65788704.

It is not an unprimeable number, because it can be changed into a prime (65788703) 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, 4414 + ... + 12290.

Almost surely, 2^65788704 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 65788704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96781230).

65788704 is an abundant number, since it is smaller than the sum of its proper divisors (127773756).

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

65788704 is a wasteful number, since it uses less digits than its factorization.

65788704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 65788704 is about 8111.0236098781. The cubic root of 65788704 is about 403.6922794794.

The spelling of 65788704 in words is "sixty-five million, seven hundred eighty-eight thousand, seven hundred four".