1266752800 has 72 divisors (see below), whose sum is σ = 3255260400. Its totient is φ = 480026880.

The previous prime is 1266752791. The next prime is 1266752801. The reversal of 1266752800 is 82576621.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1266752800.

It is not an unprimeable number, because it can be changed into a prime (1266752801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26470 + ... + 56869.

It is an arithmetic number, because the mean of its divisors is an integer number (45211950).

Almost surely, 2^1266752800 is an apocalyptic number.

1266752800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1266752800 is an abundant number, since it is smaller than the sum of its proper divisors (1988507600).

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

1266752800 is a wasteful number, since it uses less digits than its factorization.

1266752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83378 (or 83365 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 1266752800 is about 35591.4708884025. The cubic root of 1266752800 is about 1082.0083799347.

The spelling of 1266752800 in words is "one billion, two hundred sixty-six million, seven hundred fifty-two thousand, eight hundred".