1296793900 has 72 divisors (see below), whose sum is σ = 2866160304. Its totient is φ = 509184000.

The previous prime is 1296793859. The next prime is 1296793903. The reversal of 1296793900 is 93976921.

It is not an unprimeable number, because it can be changed into a prime (1296793903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2927079 + ... + 2927521.

It is an arithmetic number, because the mean of its divisors is an integer number (39807782).

Almost surely, 2^1296793900 is an apocalyptic number.

1296793900 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 1296793900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433080152).

1296793900 is an abundant number, since it is smaller than the sum of its proper divisors (1569366404).

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

1296793900 is a wasteful number, since it uses less digits than its factorization.

1296793900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 46.

The square root of 1296793900 is about 36011.0247007774. The cubic root of 1296793900 is about 1090.4949355710.

The spelling of 1296793900 in words is "one billion, two hundred ninety-six million, seven hundred ninety-three thousand, nine hundred".