265207680 has 192 divisors, whose sum is σ = 938967120. Its totient is φ = 68935680.

The previous prime is 265207619. The next prime is 265207693. The reversal of 265207680 is 86702562.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×265207680² = 140670227061964800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235599 + ... + 236721.

Almost surely, 2^265207680 is an apocalyptic number.

265207680 is a gapful number since it is divisible by the number (20) 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 265207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469483560).

265207680 is an abundant number, since it is smaller than the sum of its proper divisors (673759440).

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

265207680 is a wasteful number, since it uses less digits than its factorization.

265207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 265207680 is about 16285.1981873111. The cubic root of 265207680 is about 642.4835789431.

The spelling of 265207680 in words is "two hundred sixty-five million, two hundred seven thousand, six hundred eighty".