1276681680 has 240 divisors, whose sum is σ = 4523710464. Its totient is φ = 322191360.

The previous prime is 1276681669. The next prime is 1276681709. The reversal of 1276681680 is 861866721.

It is a happy number.

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

It is a super-2 number, since 2×1276681680² = 3259832224095244800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048432 + ... + 1049648.

Almost surely, 2^1276681680 is an apocalyptic number.

1276681680 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 1276681680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261855232).

1276681680 is an abundant number, since it is smaller than the sum of its proper divisors (3247028784).

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

1276681680 is a wasteful number, since it uses less digits than its factorization.

1276681680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1276681680 is about 35730.6826131268. The cubic root of 1276681680 is about 1084.8279736045.

The spelling of 1276681680 in words is "one billion, two hundred seventy-six million, six hundred eighty-one thousand, six hundred eighty".