65280000 has 240 divisors, whose sum is σ = 230270040. Its totient is φ = 16384000.

The previous prime is 65279999. The next prime is 65280001. The reversal of 65280000 is 8256.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65279999) and next prime (65280001).

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

It is a super-2 number, since 2×65280000² = 8522956800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65280001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3839992 + ... + 3840008.

Almost surely, 2^65280000 is an apocalyptic number.

65280000 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 65280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115135020).

65280000 is an abundant number, since it is smaller than the sum of its proper divisors (164990040).

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

65280000 is an equidigital number, since it uses as much as digits as its factorization.

65280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 65280000 is about 8079.6039506897. The cubic root of 65280000 is about 402.6490838240.

Adding to 65280000 its reverse (8256), we get a palindrome (65288256).

The spelling of 65280000 in words is "sixty-five million, two hundred eighty thousand".