265128800 has 72 divisors (see below), whose sum is σ = 651177072. Its totient is φ = 105408000.

The previous prime is 265128767. The next prime is 265128811. The reversal of 265128800 is 8821562.

265128800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143885 + ... + 145715.

It is an arithmetic number, because the mean of its divisors is an integer number (9044126).

Almost surely, 2^265128800 is an apocalyptic number.

265128800 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 265128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325588536).

265128800 is an abundant number, since it is smaller than the sum of its proper divisors (386048272).

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

265128800 is a wasteful number, since it uses less digits than its factorization.

265128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 265128800 is about 16282.7761760702. The cubic root of 265128800 is about 642.4198752450.

The spelling of 265128800 in words is "two hundred sixty-five million, one hundred twenty-eight thousand, eight hundred".