1271879760 has 320 divisors, whose sum is σ = 4419717120. Its totient is φ = 301086720.

The previous prime is 1271879723. The next prime is 1271879761. The reversal of 1271879760 is 679781721.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1271879761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7026870 + ... + 7027050.

It is an arithmetic number, because the mean of its divisors is an integer number (13811616).

Almost surely, 2^1271879760 is an apocalyptic number.

1271879760 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 1271879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209858560).

1271879760 is an abundant number, since it is smaller than the sum of its proper divisors (3147837360).

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

1271879760 is a wasteful number, since it uses less digits than its factorization.

1271879760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 48.

The square root of 1271879760 is about 35663.4232793208. The cubic root of 1271879760 is about 1083.4661614384.

The spelling of 1271879760 in words is "one billion, two hundred seventy-one million, eight hundred seventy-nine thousand, seven hundred sixty".