1265072800 has 144 divisors (see below), whose sum is σ = 3299788800. Its totient is φ = 472550400.

The previous prime is 1265072797. The next prime is 1265072813. The reversal of 1265072800 is 82705621.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718321 + ... + 720079.

It is an arithmetic number, because the mean of its divisors is an integer number (22915200).

Almost surely, 2^1265072800 is an apocalyptic number.

1265072800 is a gapful number since it is divisible by the number (10) 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 1265072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649894400).

1265072800 is an abundant number, since it is smaller than the sum of its proper divisors (2034716000).

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

1265072800 is a wasteful number, since it uses less digits than its factorization.

1265072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1265072800 is about 35567.8618980675. The cubic root of 1265072800 is about 1081.5298392482.

The spelling of 1265072800 in words is "one billion, two hundred sixty-five million, seventy-two thousand, eight hundred".