8087374080 has 432 divisors, whose sum is σ = 29547213696. Its totient is φ = 2038333440.

The previous prime is 8087374069. The next prime is 8087374121. The reversal of 8087374080 is 804737808.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34709644 + ... + 34709876.

It is an arithmetic number, because the mean of its divisors is an integer number (68396328).

Almost surely, 2^8087374080 is an apocalyptic number.

8087374080 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 8087374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773606848).

8087374080 is an abundant number, since it is smaller than the sum of its proper divisors (21459839616).

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

8087374080 is a wasteful number, since it uses less digits than its factorization.

8087374080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8087374080 is about 89929.8286443380. The cubic root of 8087374080 is about 2007.2548252685.

The spelling of 8087374080 in words is "eight billion, eighty-seven million, three hundred seventy-four thousand, eighty".