1292080080 has 80 divisors (see below), whose sum is σ = 4015546560. Its totient is φ = 343686144.

The previous prime is 1292080051. The next prime is 1292080099. The reversal of 1292080080 is 800802921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 91579 + ... + 104741.

It is an arithmetic number, because the mean of its divisors is an integer number (50194332).

Almost surely, 2^1292080080 is an apocalyptic number.

1292080080 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 1292080080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007773280).

1292080080 is an abundant number, since it is smaller than the sum of its proper divisors (2723466480).

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

1292080080 is a wasteful number, since it uses less digits than its factorization.

1292080080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13588 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1292080080 is about 35945.5154365604. The cubic root of 1292080080 is about 1089.1720222283.

The spelling of 1292080080 in words is "one billion, two hundred ninety-two million, eighty thousand, eighty".