1275629680 has 160 divisors (see below), whose sum is σ = 3530024064. Its totient is φ = 423886848.

The previous prime is 1275629671. The next prime is 1275629741. The reversal of 1275629680 is 869265721.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1275629680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405072 + ... + 408208.

Almost surely, 2^1275629680 is an apocalyptic number.

1275629680 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 1275629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765012032).

1275629680 is an abundant number, since it is smaller than the sum of its proper divisors (2254394384).

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

1275629680 is a wasteful number, since it uses less digits than its factorization.

1275629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 1275629680 is about 35715.9583379755. The cubic root of 1275629680 is about 1084.5299215909.

It can be divided in two parts, 12756 and 29680, that added together give a square (42436 = 206²).

The spelling of 1275629680 in words is "one billion, two hundred seventy-five million, six hundred twenty-nine thousand, six hundred eighty".