1904680080 has 480 divisors, whose sum is σ = 7144899840. Its totient is φ = 452874240.

The previous prime is 1904680079. The next prime is 1904680091. The reversal of 1904680080 is 800864091.

It is a happy number.

1904680080 is a `hidden beast` number, since 190 + 468 + 0 + 0 + 8 + 0 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 26826445 + ... + 26826515.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^1904680080 is an apocalyptic number.

1904680080 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 1904680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572449920).

1904680080 is an abundant number, since it is smaller than the sum of its proper divisors (5240219760).

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

1904680080 is a wasteful number, since it uses less digits than its factorization.

1904680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1904680080 is about 43642.6406167180. The cubic root of 1904680080 is about 1239.5784380370.

It can be divided in two parts, 190 and 4680080, that added together give a triangular number (4680270 = T₃₀₅₉).

The spelling of 1904680080 in words is "one billion, nine hundred four million, six hundred eighty thousand, eighty".