292080880 has 160 divisors (see below), whose sum is σ = 852695424. Its totient is φ = 90574848.

The previous prime is 292080851. The next prime is 292080881. The reversal of 292080880 is 88080292.

292080880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×292080880² = 170622480923148800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292080881) 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 31 ways as a sum of consecutive naturals, for example, 385462 + ... + 386218.

Almost surely, 2^292080880 is an apocalyptic number.

292080880 is a gapful number since it is divisible by the number (20) 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 292080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426347712).

292080880 is an abundant number, since it is smaller than the sum of its proper divisors (560614544).

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

292080880 is a wasteful number, since it uses less digits than its factorization.

292080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 292080880 is about 17090.3738987771. The cubic root of 292080880 is about 663.4899915901.

The spelling of 292080880 in words is "two hundred ninety-two million, eighty thousand, eight hundred eighty".