1801776960 has 672 divisors, whose sum is σ = 7189378560. Its totient is φ = 427327488.

The previous prime is 1801776953. The next prime is 1801776971. The reversal of 1801776960 is 696771081.

1801776960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1801776960³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38335657 + ... + 38335703.

It is an arithmetic number, because the mean of its divisors is an integer number (10698480).

Almost surely, 2^1801776960 is an apocalyptic number.

1801776960 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 1801776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594689280).

1801776960 is an abundant number, since it is smaller than the sum of its proper divisors (5387601600).

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

1801776960 is a wasteful number, since it uses less digits than its factorization.

1801776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 1801776960 is about 42447.3433797688. The cubic root of 1801776960 is about 1216.8405574521.

The spelling of 1801776960 in words is "one billion, eight hundred one million, seven hundred seventy-six thousand, nine hundred sixty".