1270792320 has 256 divisors, whose sum is σ = 4831764480. Its totient is φ = 277770240.

The previous prime is 1270792319. The next prime is 1270792337. The reversal of 1270792320 is 232970721.

It is a super-2 number, since 2×1270792320² = 3229826241141964800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307065 + ... + 311175.

It is an arithmetic number, because the mean of its divisors is an integer number (18874080).

Almost surely, 2^1270792320 is an apocalyptic number.

1270792320 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 1270792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415882240).

1270792320 is an abundant number, since it is smaller than the sum of its proper divisors (3560972160).

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

1270792320 is a wasteful number, since it uses less digits than its factorization.

1270792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 1270792320 is about 35648.1741467919. The cubic root of 1270792320 is about 1083.1572904213.

The spelling of 1270792320 in words is "one billion, two hundred seventy million, seven hundred ninety-two thousand, three hundred twenty".