1276480800 has 864 divisors, whose sum is σ = 5719633920. Its totient is φ = 261273600.

The previous prime is 1276480783. The next prime is 1276480801. The reversal of 1276480800 is 80846721.

1276480800 is a `hidden beast` number, since 1 + 2 + 7 + 648 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1276480801) 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 143 ways as a sum of consecutive naturals, for example, 29685579 + ... + 29685621.

Almost surely, 2^1276480800 is an apocalyptic number.

1276480800 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 1276480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859816960).

1276480800 is an abundant number, since it is smaller than the sum of its proper divisors (4443153120).

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

1276480800 is a wasteful number, since it uses less digits than its factorization.

1276480800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1276480800 is about 35727.8714731231. The cubic root of 1276480800 is about 1084.7710730533.

The spelling of 1276480800 in words is "one billion, two hundred seventy-six million, four hundred eighty thousand, eight hundred".