1272775680 has 616 divisors, whose sum is σ = 5154902784. Its totient is φ = 298598400.

The previous prime is 1272775663. The next prime is 1272775687. The reversal of 1272775680 is 865772721.

1272775680 is a `hidden beast` number, since 12 + 7 + 2 + 77 + 568 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272775687) 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 55 ways as a sum of consecutive naturals, for example, 41057265 + ... + 41057295.

Almost surely, 2^1272775680 is an apocalyptic number.

1272775680 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 1272775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577451392).

1272775680 is an abundant number, since it is smaller than the sum of its proper divisors (3882127104).

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

1272775680 is an equidigital number, since it uses as much as digits as its factorization.

1272775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The square root of 1272775680 is about 35675.9818365241. The cubic root of 1272775680 is about 1083.7205018252.

The spelling of 1272775680 in words is "one billion, two hundred seventy-two million, seven hundred seventy-five thousand, six hundred eighty".