1276408320 has 320 divisors, whose sum is σ = 4613811840. Its totient is φ = 298188800.

The previous prime is 1276408319. The next prime is 1276408321. The reversal of 1276408320 is 238046721.

It is an interprime number because it is at equal distance from previous prime (1276408319) and next prime (1276408321).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1276408321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2449660 + ... + 2450180.

It is an arithmetic number, because the mean of its divisors is an integer number (14418162).

Almost surely, 2^1276408320 is an apocalyptic number.

1276408320 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 1276408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306905920).

1276408320 is an abundant number, since it is smaller than the sum of its proper divisors (3337403520).

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

1276408320 is a wasteful number, since it uses less digits than its factorization.

1276408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1276408320 is about 35726.8571245779. The cubic root of 1276408320 is about 1084.7505411619.

The spelling of 1276408320 in words is "one billion, two hundred seventy-six million, four hundred eight thousand, three hundred twenty".