8012582400 has 480 divisors, whose sum is σ = 28057632768. Its totient is φ = 2012774400.

The previous prime is 8012582393. The next prime is 8012582423. The reversal of 8012582400 is 42852108.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63091137 + ... + 63091263.

Almost surely, 2^8012582400 is an apocalyptic number.

8012582400 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 8012582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028816384).

8012582400 is an abundant number, since it is smaller than the sum of its proper divisors (20045050368).

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

8012582400 is a wasteful number, since it uses less digits than its factorization.

8012582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 8012582400 is about 89513.0292192148. The cubic root of 8012582400 is about 2001.0479841021.

The spelling of 8012582400 in words is "eight billion, twelve million, five hundred eighty-two thousand, four hundred".