8087137920 has 192 divisors, whose sum is σ = 28083804840. Its totient is φ = 2144378880.

The previous prime is 8087137901. The next prime is 8087137957. The reversal of 8087137920 is 297317808.

It can be written as a sum of positive squares in 4 ways, for example, as 5291689536 + 2795448384 = 72744^2 + 52872^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1038682 + ... + 1046438.

Almost surely, 2^8087137920 is an apocalyptic number.

8087137920 is a gapful number since it is divisible by the number (80) 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 8087137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041902420).

8087137920 is an abundant number, since it is smaller than the sum of its proper divisors (19996666920).

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

8087137920 is a wasteful number, since it uses less digits than its factorization.

8087137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7963 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8087137920 is about 89928.5156110118. The cubic root of 8087137920 is about 2007.2352870802.

The spelling of 8087137920 in words is "eight billion, eighty-seven million, one hundred thirty-seven thousand, nine hundred twenty".