1273767768 has 160 divisors (see below), whose sum is σ = 4391254560. Its totient is φ = 335923200.

The previous prime is 1273767763. The next prime is 1273767793. The reversal of 1273767768 is 8677673721.

1273767768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1273767763) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48168 + ... + 69768.

It is an arithmetic number, because the mean of its divisors is an integer number (27445341).

Almost surely, 2^1273767768 is an apocalyptic number.

1273767768 is a gapful number since it is divisible by the number (18) 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 1273767768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195627280).

1273767768 is an abundant number, since it is smaller than the sum of its proper divisors (3117486792).

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

1273767768 is a wasteful number, since it uses less digits than its factorization.

1273767768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21626 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 1273767768 is about 35689.8832724345. The cubic root of 1273767768 is about 1084.0020038724.

The spelling of 1273767768 in words is "one billion, two hundred seventy-three million, seven hundred sixty-seven thousand, seven hundred sixty-eight".