8027799840 has 480 divisors, whose sum is σ = 30428576640. Its totient is φ = 1986011136.

The previous prime is 8027799833. The next prime is 8027799887. The reversal of 8027799840 is 489977208.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×8027799840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18286341 + ... + 18286779.

It is an arithmetic number, because the mean of its divisors is an integer number (63392868).

Almost surely, 2^8027799840 is an apocalyptic number.

8027799840 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 8027799840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15214288320).

8027799840 is an abundant number, since it is smaller than the sum of its proper divisors (22400776800).

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

8027799840 is a wasteful number, since it uses less digits than its factorization.

8027799840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 8027799840 is about 89597.9901560297. The cubic root of 8027799840 is about 2002.3139750605.

The spelling of 8027799840 in words is "eight billion, twenty-seven million, seven hundred ninety-nine thousand, eight hundred forty".