8037225000 has 648 divisors, whose sum is σ = 32865298830. Its totient is φ = 1837080000.

The previous prime is 8037224999. The next prime is 8037225023. The reversal of 8037225000 is 5227308.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 11573604 + 8025651396 = 3402^2 + 89586^2 .

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 1148174997 + ... + 1148175003.

Almost surely, 2^8037225000 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 8037225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16432649415).

8037225000 is an abundant number, since it is smaller than the sum of its proper divisors (24828073830).

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

8037225000 is an frugal number, since it uses more digits than its factorization.

8037225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 8037225000 is about 89650.5716657736. The cubic root of 8037225000 is about 2003.0972842723.

The spelling of 8037225000 in words is "eight billion, thirty-seven million, two hundred twenty-five thousand".