1801280880 has 480 divisors, whose sum is σ = 7409525760. Its totient is φ = 383201280.

The previous prime is 1801280869. The next prime is 1801280881. The reversal of 1801280880 is 880821081.

It is a happy number.

It is a super-3 number, since 3×1801280880³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1801280881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4752531 + ... + 4752909.

It is an arithmetic number, because the mean of its divisors is an integer number (15436512).

Almost surely, 2^1801280880 is an apocalyptic number.

1801280880 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 1801280880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704762880).

1801280880 is an abundant number, since it is smaller than the sum of its proper divisors (5608244880).

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

1801280880 is a wasteful number, since it uses less digits than its factorization.

1801280880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 1801280880 is about 42441.4995022560. The cubic root of 1801280880 is about 1216.7288703628.

The spelling of 1801280880 in words is "one billion, eight hundred one million, two hundred eighty thousand, eight hundred eighty".