65728080 has 240 divisors, whose sum is σ = 247680576. Its totient is φ = 15482880.

The previous prime is 65728057. The next prime is 65728081. The reversal of 65728080 is 8082756.

65728080 is a `hidden beast` number, since 6 + 572 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65728081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340464 + ... + 340656.

Almost surely, 2^65728080 is an apocalyptic number.

65728080 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 65728080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123840288).

65728080 is an abundant number, since it is smaller than the sum of its proper divisors (181952496).

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

65728080 is a wasteful number, since it uses less digits than its factorization.

65728080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 65728080 is about 8107.2856123366. The cubic root of 65728080 is about 403.5682411542.

The spelling of 65728080 in words is "sixty-five million, seven hundred twenty-eight thousand, eighty".