8020025400 has 384 divisors, whose sum is σ = 28685664000. Its totient is φ = 1839882240.

The previous prime is 8020025341. The next prime is 8020025437. The reversal of 8020025400 is 45200208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5619487 + ... + 5620913.

It is an arithmetic number, because the mean of its divisors is an integer number (74702250).

Almost surely, 2^8020025400 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 8020025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832000).

8020025400 is an abundant number, since it is smaller than the sum of its proper divisors (20665638600).

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

8020025400 is a wasteful number, since it uses less digits than its factorization.

8020025400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 8020025400 is about 89554.5945220009. The cubic root of 8020025400 is about 2001.6673928476.

Adding to 8020025400 its reverse (45200208), we get a palindrome (8065225608).

The spelling of 8020025400 in words is "eight billion, twenty million, twenty-five thousand, four hundred".