8027399160 has 512 divisors, whose sum is σ = 30656102400. Its totient is φ = 1850688000.

The previous prime is 8027399131. The next prime is 8027399161. The reversal of 8027399160 is 619937208.

8027399160 is a `hidden beast` number, since 80 + 27 + 399 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8027399161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26147727 + ... + 26148033.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 2^8027399160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8027399160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328051200).

8027399160 is an abundant number, since it is smaller than the sum of its proper divisors (22628703240).

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

8027399160 is a wasteful number, since it uses less digits than its factorization.

8027399160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 8027399160 is about 89595.7541404725. The cubic root of 8027399160 is about 2002.2806616360.

The spelling of 8027399160 in words is "eight billion, twenty-seven million, three hundred ninety-nine thousand, one hundred sixty".