8027793840 has 160 divisors (see below), whose sum is σ = 27780293376. Its totient is φ = 1900846080.

The previous prime is 8027793779. The next prime is 8027793863. The reversal of 8027793840 is 483977208.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8027793840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78162 + ... + 148878.

Almost surely, 2^8027793840 is an apocalyptic number.

8027793840 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 8027793840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890146688).

8027793840 is an abundant number, since it is smaller than the sum of its proper divisors (19752499536).

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

8027793840 is a wasteful number, since it uses less digits than its factorization.

8027793840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70787 (or 70781 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 8027793840 is about 89597.9566731295. The cubic root of 8027793840 is about 2002.3134762154.

The spelling of 8027793840 in words is "eight billion, twenty-seven million, seven hundred ninety-three thousand, eight hundred forty".