8012390400 has 1008 divisors, whose sum is σ = 35494228224. Its totient is φ = 1751777280.

The previous prime is 8012390363. The next prime is 8012390401. The reversal of 8012390400 is 40932108.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364789 + ... + 348364811.

It is an arithmetic number, because the mean of its divisors is an integer number (35212528).

Almost surely, 2^8012390400 is an apocalyptic number.

8012390400 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 8012390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17747114112).

8012390400 is an abundant number, since it is smaller than the sum of its proper divisors (27481837824).

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

8012390400 is an equidigital number, since it uses as much as digits as its factorization.

8012390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8012390400 is about 89511.9567432195. The cubic root of 8012390400 is about 2001.0320007290.

The spelling of 8012390400 in words is "eight billion, twelve million, three hundred ninety thousand, four hundred".