1292878720 has 96 divisors (see below), whose sum is σ = 3595493880. Its totient is φ = 443261952.

The previous prime is 1292878711. The next prime is 1292878723. The reversal of 1292878720 is 278782921.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292878723) 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 11 ways as a sum of consecutive naturals, for example, 10747 + ... + 51973.

Almost surely, 2^1292878720 is an apocalyptic number.

1292878720 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 1292878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797746940).

1292878720 is an abundant number, since it is smaller than the sum of its proper divisors (2302615160).

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

1292878720 is an equidigital number, since it uses as much as digits as its factorization.

1292878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41260 (or 41241 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The square root of 1292878720 is about 35956.6227557595. The cubic root of 1292878720 is about 1089.3963832407.

The spelling of 1292878720 in words is "one billion, two hundred ninety-two million, eight hundred seventy-eight thousand, seven hundred twenty".