8052000 has 192 divisors, whose sum is σ = 29248128. Its totient is φ = 1920000.

The previous prime is 8051969. The next prime is 8052007. The reversal of 8052000 is 2508.

8052000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8052007) 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, 131970 + ... + 132030.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^8052000 is an apocalyptic number.

8052000 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 8052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064).

8052000 is an abundant number, since it is smaller than the sum of its proper divisors (21196128).

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

8052000 is a wasteful number, since it uses less digits than its factorization.

8052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 8052000 is about 2837.6046236218. The cubic root of 8052000 is about 200.4323978203.

Adding to 8052000 its reverse (2508), we get a palindrome (8054508).

The spelling of 8052000 in words is "eight million, fifty-two thousand".