4087072080 has 800 divisors, whose sum is σ = 18148838400. Its totient is φ = 829108224.

The previous prime is 4087072079. The next prime is 4087072141. The reversal of 4087072080 is 802707804.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17100601 + ... + 17100839.

It is an arithmetic number, because the mean of its divisors is an integer number (22686048).

Almost surely, 2^4087072080 is an apocalyptic number.

4087072080 is a gapful number since it is divisible by the number (40) 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 4087072080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074419200).

4087072080 is an abundant number, since it is smaller than the sum of its proper divisors (14061766320).

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

4087072080 is a wasteful number, since it uses less digits than its factorization.

4087072080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4087072080 is about 63930.2125759019. The cubic root of 4087072080 is about 1598.8366647786.

Adding to 4087072080 its reverse (802707804), we get a palindrome (4889779884).

The spelling of 4087072080 in words is "four billion, eighty-seven million, seventy-two thousand, eighty".