8279871840 has 480 divisors, whose sum is σ = 31034513664. Its totient is φ = 2075258880.

The previous prime is 8279871839. The next prime is 8279871869. The reversal of 8279871840 is 481789728.

It is a happy number.

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

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

It is a congruent number.

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, 14864842 + ... + 14865398.

Almost surely, 2^8279871840 is an apocalyptic number.

8279871840 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 8279871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15517256832).

8279871840 is an abundant number, since it is smaller than the sum of its proper divisors (22754641824).

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

8279871840 is a wasteful number, since it uses less digits than its factorization.

8279871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 8279871840 is about 90993.8011075480. The cubic root of 8279871840 is about 2023.0558459958.

The spelling of 8279871840 in words is "eight billion, two hundred seventy-nine million, eight hundred seventy-one thousand, eight hundred forty".