8279861904 has 160 divisors (see below), whose sum is σ = 24436114560. Its totient is φ = 2682796032.

The previous prime is 8279861903. The next prime is 8279861957. The reversal of 8279861904 is 4091689728.

It is a super-2 number, since 2×8279861904² (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 not an unprimeable number, because it can be changed into a prime (8279861903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4327252 + ... + 4329164.

It is an arithmetic number, because the mean of its divisors is an integer number (152725716).

Almost surely, 2^8279861904 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 8279861904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12218057280).

8279861904 is an abundant number, since it is smaller than the sum of its proper divisors (16156252656).

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

8279861904 is a wasteful number, since it uses less digits than its factorization.

8279861904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 8279861904 is about 90993.7465104059. The cubic root of 8279861904 is about 2023.0550367606.

The spelling of 8279861904 in words is "eight billion, two hundred seventy-nine million, eight hundred sixty-one thousand, nine hundred four".