8270040000 has 140 divisors (see below), whose sum is σ = 27343078664. Its totient is φ = 2205312000.

The previous prime is 8270039993. The next prime is 8270040007. The reversal of 8270040000 is 400728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8270039993) and next prime (8270040007).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8270040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85542 + ... + 154458.

Almost surely, 2^8270040000 is an apocalyptic number.

8270040000 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 8270040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671539332).

8270040000 is an abundant number, since it is smaller than the sum of its proper divisors (19073038664).

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

8270040000 is an equidigital number, since it uses as much as digits as its factorization.

8270040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68952 (or 68927 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8270040000 is about 90939.7602811883. The cubic root of 8270040000 is about 2022.2547772582.

Adding to 8270040000 its reverse (400728), we get a palindrome (8270440728).

The spelling of 8270040000 in words is "eight billion, two hundred seventy million, forty thousand".