1831420080 has 720 divisors, whose sum is σ = 7793233344. Its totient is φ = 383201280.

The previous prime is 1831420069. The next prime is 1831420109. The reversal of 1831420080 is 800241381.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30023250 + ... + 30023310.

Almost surely, 2^1831420080 is an apocalyptic number.

1831420080 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 1831420080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3896616672).

1831420080 is an abundant number, since it is smaller than the sum of its proper divisors (5961813264).

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

1831420080 is a wasteful number, since it uses less digits than its factorization.

1831420080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

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

The square root of 1831420080 is about 42795.0941113581. The cubic root of 1831420080 is about 1223.4775099191.

The spelling of 1831420080 in words is "one billion, eight hundred thirty-one million, four hundred twenty thousand, eighty".