1276116480 has 240 divisors, whose sum is σ = 4472932464. Its totient is φ = 336199680.

The previous prime is 1276116397. The next prime is 1276116481. The reversal of 1276116480 is 846116721.

It is a happy number.

1276116480 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 1 + 1 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (1276116481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2234595 + ... + 2235165.

Almost surely, 2^1276116480 is an apocalyptic number.

1276116480 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 1276116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236466232).

1276116480 is an abundant number, since it is smaller than the sum of its proper divisors (3196815984).

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

1276116480 is an equidigital number, since it uses as much as digits as its factorization.

1276116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1276116480 is about 35722.7725687691. The cubic root of 1276116480 is about 1084.6678618386.

It can be divided in two parts, 12761 and 16480, that added together give a square (29241 = 171²).

The spelling of 1276116480 in words is "one billion, two hundred seventy-six million, one hundred sixteen thousand, four hundred eighty".