1206820080 has 320 divisors, whose sum is σ = 4371148800. Its totient is φ = 305648640.

The previous prime is 1206820079. The next prime is 1206820099. The reversal of 1206820080 is 800286021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4486186 + ... + 4486454.

It is an arithmetic number, because the mean of its divisors is an integer number (13659840).

Almost surely, 2^1206820080 is an apocalyptic number.

1206820080 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 1206820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2185574400).

1206820080 is an abundant number, since it is smaller than the sum of its proper divisors (3164328720).

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

1206820080 is a wasteful number, since it uses less digits than its factorization.

1206820080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1206820080 is about 34739.3160554436. The cubic root of 1206820080 is about 1064.6679385309.

The spelling of 1206820080 in words is "one billion, two hundred six million, eight hundred twenty thousand, eighty".