8273822004 has 384 divisors, whose sum is σ = 28230451200. Its totient is φ = 2037934080.

The previous prime is 8273821999. The next prime is 8273822009. The reversal of 8273822004 is 4002283728.

It is an interprime number because it is at equal distance from previous prime (8273821999) and next prime (8273822009).

It is a super-2 number, since 2×8273822004² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8273822004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8273822009) 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, 7569282 + ... + 7570374.

It is an arithmetic number, because the mean of its divisors is an integer number (73516800).

Almost surely, 2^8273822004 is an apocalyptic number.

8273822004 is a gapful number since it is divisible by the number (84) 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 8273822004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115225600).

8273822004 is an abundant number, since it is smaller than the sum of its proper divisors (19956629196).

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

8273822004 is a wasteful number, since it uses less digits than its factorization.

8273822004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8273822004 is about 90960.5519112544. The cubic root of 8273822004 is about 2022.5629986646.

The spelling of 8273822004 in words is "eight billion, two hundred seventy-three million, eight hundred twenty-two thousand, four".